منابع مشابه
Noncommutative Differential Geometry and Connections on Simplicial Manifolds
For a simplicial manifold we construct the differential geometry structure and use it to investigate linear connections, metric and gravity. We discuss and compare three main approaches and calculate the resulting gravity action functionals.
متن کاملOn Differential Geometry and Homogeneous Spaces
* Work supported by the Office of Ordnance Research, United States Army, Contract No. DA-36-034-ORD-1296. 1 W. Feller, "The General Diffusion Operator and Positivity-preserving Semi-groups in One Dimension," Ann. Math., 60, 417-436, 1954; "The Parabolic Differential Equations and the Associated Semni-groups of Transformations," ibid., 55, 468-519, 1952; J. L. Doob, Stochastic Processes (New Yor...
متن کاملOn Decomposing Suspensions of Simplicial Spaces
Let X• denote a simplicial space. The purpose of this note is to record a decomposition of the suspension of the individual spaces Xn occurring in X• in case the spaces Xn satisfy certain mild topological hypotheses and where these decompositions are natural for morphisms of simplicial spaces. In addition, the summands of Xn which occur after one suspension are stably equivalent to choices of f...
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The notion of simplicial complexes is usually introduced at the graduate level, as part of the study of algebraic topology. So the main objective of this paper is to organize and present materials found in the literature so that it is accessible to students at the undergraduate level. We first generalize linear algebra to affine linear algebra. Then using these results, we define, and subsequen...
متن کاملGeometry on Probability Spaces
Partial differential equations and the Laplacian operator on domains in Euclidean spaces have played a central role in understanding natural phenomena. However this avenue has been limited in many areas where calculus is obstructed as in singular spaces, and function spaces of functions on a space X where X itself is a function space. Examples of the last occur in vision and quantum field theor...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1975
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1975-0391146-5