Results 21 to 30 of about 260,962 (154)

Arcs, Cords and Felts - Six instances of the Linearization Principle

open access: yes, 2009
It is shown how a selection of prominent results in singularity theory and differential geometry can be deduced from one theorem, the Rank Theorem for maps between spaces of power series.Comment: to be published in "The American Journal of ...
Bruschek, Clemens, Hauser, Herwig
core   +3 more sources

Quantum Field Theory and Differential Geometry

open access: yes, 2008
We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry.
Freedman M.   +5 more
core   +1 more source

Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China

open access: yes, 2012
The years 1910-1911 are auspicious years in Chinese mathematics with the births of Pao-Lu Hsu, Luo-Keng Hua and Shiing-Shen Chern. These three began the development of modern mathematics in China: Hsu in probability and statistics, Hua in number theory ...
Chen, Dayue, Olkin, Ingram
core   +1 more source

Differential Geometry of Microlinear Frolicher Spaces I [PDF]

open access: yes, 2010
The central object of synthetic differential geometry is microlinear spaces. In our previous paper [Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds-, International Journal of Pure and Applied Mathematics, 60 (2010), 15-24 ...
Nishimura, Hirokazu
core  

Physics in Riemann's mathematical papers

open access: yes, 2017
Riemann's mathematical papers contain many ideas that arise from physics, and some of them are motivated by problems from physics. In fact, it is not easy to separate Riemann's ideas in mathematics from those in physics.
A-M Legendre   +35 more
core   +1 more source

Lectures on Duflo isomorphisms in Lie algebra and complex geometry

open access: yes, 2011
International audienceDuflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra, generalizing the pioneering work of ...
Calaque, D., Rossi, C.
core   +3 more sources

SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden
İsmet AYHAN
doaj  

Geometry and Physics of Null Infinity

open access: yes, 2015
In asymptotically Minkowski space-times, one finds a surprisingly rich interplay between geometry and physics in both the classical and quantum regimes. On the mathematical side it involves null geometry, infinite dimensional groups, symplectic geometry ...
Ashtekar, Abhay
core   +1 more source

On the probability density function of baskets

open access: yes, 2015
The state price density of a basket, even under uncorrelated Black-Scholes dynamics, does not allow for a closed from density. (This may be rephrased as statement on the sum of lognormals and is especially annoying for such are used most frequently in ...
Bayer, Christian   +2 more
core   +1 more source

A Survey of the Differential Geometry of Discrete Curves [PDF]

open access: yes, 2013
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward differential geometry is over a century old. However there is no general theory or methodology in the literature, despite the ubiquitous use of discrete curves
Carroll, Daniel   +3 more
core  

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