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Meaning of "Riemannian geometry" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF RIEMANNIAN GEOMETRY

Riemannian geometry play
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GRAMMATICAL CATEGORY OF RIEMANNIAN GEOMETRY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Riemannian geometry is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES RIEMANNIAN GEOMETRY MEAN IN ENGLISH?

Riemannian geometry

Riemannian geometry

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area, and volume. From those some other global quantities can be derived by integrating local contributions. Riemannian geometry originated with the vision of Bernhard Riemann expressed in his inaugurational lecture Ueber die Hypothesen, welche der Geometrie zu Grunde liegen. It is a very broad and abstract generalization of the differential geometry of surfaces in R3. Development of Riemannian geometry resulted in synthesis of diverse results concerning the geometry of surfaces and the behavior of geodesics on them, with techniques that can be applied to the study of differentiable manifolds of higher dimensions. It enabled Einstein's general relativity theory, made profound impact on group theory and representation theory, as well as analysis, and spurred the development of algebraic and differential topology.

Definition of Riemannian geometry in the English dictionary

The definition of Riemannian geometry in the dictionary is a branch of non-Euclidean geometry in which a line may have many parallels through a given point. It has a model on the surface of a sphere, with lines represented by great circles Also called: elliptic geometry.

WORDS THAT BEGIN LIKE RIEMANNIAN GEOMETRY

Ridley
ridotto
Rie
riebeckite
Riefenstahl
riel
riem
Riemann
Riemannian
riempie
Rienzi
Riesling
Rievaulx Abbey
rieve
riever
Rif

WORDS THAT END LIKE RIEMANNIAN GEOMETRY

altimetry
anthropometry
astrometry
asymmetry
audiometry
biometry
calorimetry
cytometry
geometry
morphometry
optometry
poetry
psychometry
spectrometry
spectrophotometry
stoichiometry
supersymmetry
symmetry
telemetry
trigonometry
velocimetry

Synonyms and antonyms of Riemannian geometry in the English dictionary of synonyms

SYNONYMS

Translation of «Riemannian geometry» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF RIEMANNIAN GEOMETRY

Find out the translation of Riemannian geometry to 25 languages with our English multilingual translator.
The translations of Riemannian geometry from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Riemannian geometry» in English.

Translator English - Chinese

黎曼几何
1,325 millions of speakers

Translator English - Spanish

la geometría de Riemann
570 millions of speakers

English

Riemannian geometry
510 millions of speakers

Translator English - Hindi

Riemannian ज्यामिति
380 millions of speakers
ar

Translator English - Arabic

هندسة ريمان
280 millions of speakers

Translator English - Russian

риманова геометрия
278 millions of speakers

Translator English - Portuguese

geometria de Riemann
270 millions of speakers

Translator English - Bengali

রিম্যানিয়ান জ্যামিতি
260 millions of speakers

Translator English - French

la géométrie de Riemann
220 millions of speakers

Translator English - Malay

Geometri Riemannian
190 millions of speakers

Translator English - German

Riemannschen Geometrie
180 millions of speakers

Translator English - Japanese

リーマン幾何学
130 millions of speakers

Translator English - Korean

리만 기하학
85 millions of speakers

Translator English - Javanese

Geometri Riemannian
85 millions of speakers
vi

Translator English - Vietnamese

hình học Riemann
80 millions of speakers

Translator English - Tamil

ரிமேனியன் வடிவவியல்
75 millions of speakers

Translator English - Marathi

रीमॅनियन भूमिती
75 millions of speakers

Translator English - Turkish

Riemann geometrisi
70 millions of speakers

Translator English - Italian

geometria Riemanniana
65 millions of speakers

Translator English - Polish

geometria Riemanna
50 millions of speakers

Translator English - Ukrainian

ріманова геометрія
40 millions of speakers

Translator English - Romanian

geometrie riemanniene
30 millions of speakers
el

Translator English - Greek

Riemannian γεωμετρία
15 millions of speakers
af

Translator English - Afrikaans

Riemann-meetkunde
14 millions of speakers
sv

Translator English - Swedish

Riemanngeometri
10 millions of speakers
no

Translator English - Norwegian

Riemannsk geometri
5 millions of speakers

Trends of use of Riemannian geometry

TRENDS

TENDENCIES OF USE OF THE TERM «RIEMANNIAN GEOMETRY»

The term «Riemannian geometry» is regularly used and occupies the 94.255 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
56
/100
The map shown above gives the frequency of use of the term «Riemannian geometry» in the different countries.
Principal search tendencies and common uses of Riemannian geometry
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Riemannian geometry».

FREQUENCY OF USE OF THE TERM «RIEMANNIAN GEOMETRY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Riemannian geometry» during the past 500 years. Its implementation is based on analysing how often the term «Riemannian geometry» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about Riemannian geometry

EXAMPLES

10 ENGLISH BOOKS RELATING TO «RIEMANNIAN GEOMETRY»

Discover the use of Riemannian geometry in the following bibliographical selection. Books relating to Riemannian geometry and brief extracts from same to provide context of its use in English literature.
1
Riemannian Geometry
"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry.
Manfredo P. do Carmo, 1992
2
Riemannian Geometry
However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic - velopments. Here is not the place to relate them.
Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine, 2004
3
Riemannian Geometry
In this book, Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike.
Luther Pfahler Eisenhart, 1997
4
Riemannian Geometry
Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to ...
Peter Petersen, 2006
5
Riemannian Geometry
This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992.
Takashi Sakai, 1996
6
Semi-Riemannian Geometry With Applications to Relativity, 103
This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature.
Barrett O'Neill, 1983
7
Eigenvalues in Riemannian Geometry
The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to ...
Isaac Chavel, 1984
8
Riemannian Geometry and Geometric Analysis: Riemannian ...
Also, the entire material has been reorganized in order to improve the coherence of the book. From the reviews: 'This book provides a very readable introduction to Riemannian geometry and geometric analysis. ..
Jürgen Jost, 2011
9
An Introduction to Differentiable Manifolds and Riemannian ...
The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject.
William Munger Boothby, 2003
10
Riemannian Geometry
Riemannian Geometry includes results discovered during the last few years, which have previously only been available through research papers.
Thomas J. Willmore, 1996

10 NEWS ITEMS WHICH INCLUDE THE TERM «RIEMANNIAN GEOMETRY»

Find out what the national and international press are talking about and how the term Riemannian geometry is used in the context of the following news items.
1
Special Relativity and the Road Not Taken
The answer: use Riemannian geometry. And so physics has ... most in this game. One failure was to recast the Riemann curvature tensor in a quaternion form. «Science 2.0, Jun 15»
2
Simons Foundation Funds Physics, Mathematics Researchers
As the title implies, Wylie's research project, “Riemannian Geometry for ... Theory,” straddles algebraic geometry and commutative algebra by focusing on a ... «Syracuse University News, May 15»
3
French mathematician to sign books at Doha fair
... statistical physics (Boltzmann equation, Landau damping), optimisation (optimal transportation problem of Monge) and Riemannian geometry (synthetic theory ... «Gulf Times, Jan 15»
4
Two Notre Dame professors named fellows of the American …
“My research is in the area of mathematics known as geometric analysis,” he said. ... of Mathematics, was recognized for contributions to Riemannian geometry. «ND Newswire, Nov 14»
5
First woman wins 'Nobel prize' of maths
If there is one problem in mathematics more troublesome than the swirling contours of Riemannian geometry, it is the lack of recognition for women. In a single ... «The Times, Aug 14»
6
Kim Kardashian Hints at the Release of a New Video Game Starring …
... video game series wherein Kim will describe and explain the nuances of fun, sexy topics like quantum mechanics, string theory, and Riemannian geometry. «Complex.com, Jun 14»
7
'Our Mathematical Universe,' by Max Tegmark
Some of these theories subsequently found real-world applications (for example, 60 years after Riemannian geometry was developed, Einstein used it to ... «New York Times, Feb 14»
8
The search for Africa's Einstein
The Osserman condition in pseudo-Riemannian geometry; or. Ring theory and McEliece cryptosystems; or. Asymptotic symmetry for nonlocal evolution ... «Toronto Star, Feb 14»
9
The Wholeness of Quantum Reality: An Interview with Physicist Basil …
Take the edge dislocations wandering through the crystal, and you find you get Riemannian geometry. So I did a lot of that, wondering about whether space was ... «Scientific American, Nov 13»
10
We Are Light-Eaters: The Unearthly Art of James Turrell
But unlike many of his contemporaries, he references diverse scientific and mathematical sources, ranging from Riemannian geometry—which deals with the ... «Gizmodo, Jun 13»

REFERENCE
« EDUCALINGO. Riemannian geometry [online]. Available <https://educalingo.com/en/dic-en/riemannian-geometry>. Apr 2024 ».
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