Results 1 to 10 of about 267,553 (141)
Axiomatic Differential Geometry II-2: Differential Forms [PDF]
, 2013 We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
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Differential K-theory. A survey [PDF]
, 2011 Generalized differential cohomology theories, in particular differential K-theory (often called "smooth K-theory"), are becoming an important tool in differential geometry and in mathematical physics.
Bär, Christian +2 more
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Arcs, Cords and Felts - Six instances of the Linearization Principle
, 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
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Geometry and Physics of Null Infinity
, 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
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Quantum Field Theory and Differential Geometry
, 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
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Supersymmetric Oscillator: Novel Symmetries
, 2012 We discuss various continuous and discrete symmetries of the supersymmetric simple harmonic oscillator (SHO) in one (0 + 1)-dimension of spacetime and show their relevance in the context of mathematics of differential geometry. We show the existence of a
Dirac P. A. M. +7 more
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Differential Geometry of Microlinear Frolicher Spaces I [PDF]
, 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
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Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China
, 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
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A Survey of the Differential Geometry of Discrete Curves [PDF]
, 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
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SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ
Süleyman 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
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