搜索结果: 31-45 共查到“几何学 geometry”相关记录125条 . 查询时间(0.202 秒)
MOISHEZON SPACES IN RIGID GEOMETRY
RIGID GEOMETRY MOISHEZON SPACES
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2015/7/6
We prove that all proper rigid-analytic spaces with \enough" algebraically independent meromorphic functions are algebraic (in the sense of proper algebraic spaces). This is a non-archimedean analogue...
Sub-Geometries of Lie Sphere Differential Geometry
Sub-Geometries Lie Sphere Differential Geometry
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2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
Geometric Meanings of Curvatures in Finsler Geometry
Geometric Meanings of Curvatures Finsler Geometry
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2015/3/24
Geometric Meanings of Curvatures in Finsler Geometry.
Enumerative Geometry on Enriques surfaces
Enumerative Geometry Enriques surfaces
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2015/3/19
Enumerative Geometry on Enriques surfaces.
Geometry of Satake and Toroidal Compactifications
Geometry of Satake Toroidal Compactifications
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2014/12/8
In [JM02, section 14], Ji and MacPherson give new constructions of the Borel--Serre and reductive Borel--Serre compactifications [BS73, Zuc82] of a locally symmetric space. They use equivalence classe...
A class of variational functionals in conformal geometry
A class of variational functionals in conformal geometry
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2014/4/3
We derive a class of variational functionals which arise naturally in
conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional coincides wi...
FOURTH ORDER EQUATIONS IN CONFORMAL GEOMETRY
FOURTH ORDER EQUATIONS CONFORMAL GEOMETRY
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2014/4/3
In this artile we review some reent work on fourth order equations in onformal geometry of three and four dimensions. We dis uss some an existene result for a Yamabe-type equation in dimension three. ...
Fractional Laplacian in conformal geometry
Conformal geometry Fractional Laplacian Conformally covariant operators Dirichlet-to-Neumann operators Asymptotically hyperbolic manifolds
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2014/4/3
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal...
SOME PROGRESS IN CONFORMAL GEOMETRY
SOME PROGRESS CONFORMAL GEOMETRY
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2014/4/3
In this paper we describe our current research in the theory of partial di erential equations in conformal geometry. We introduce a bubble tree structure to study the degeneration of a class of Yamabe...
ON UNIQUENESS OF SOLUTION OF A n-TH ORDER DIFFERENTIAL EQUATION IN CONFORMAL GEOMETRY
ON UNIQUENESS OF SOLUTION A n-TH ORDER DIFFERENTIAL EQUATION CONFORMAL GEOMETRY
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2014/4/3
In this paper, we prove an uniqueness theorem for a n-th order elliptic equation on the standard n-sphere Sn. The problem arises naturally from the point of view of conformal geometry. The method we u...
Computational Conformal Geometry Applications
calculate Geometry Applications
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2014/10/30
The work is collaborated with Shing-Tung Yau, Feng Luo, Tony
Chan, Paul Thompson, Yalin Wang, Ronald Lok Ming Lui, Hong
Qin, Dimitris Samaras, Jie Gao, Arie Kaufman, and many other
mathematicians, ...
Einstein metrics in projective geometry
projective differential geometry Einstein metrics conformal differential geometry
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2012/7/11
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined...
Geometry of optimal control for control-affine systems
affine distributions optimal control theory Cartan's method of equivalence
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2012/6/21
Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We comput...
Information geometry and the hydrodynamical formulation of quantum mechanics
Information geometry the hydrodynamical formulation quantum mechanics Differential Geometry
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2012/4/18
Let (M,g) be a compact, connected and oriented Riemannian manifold. We denote D the space of smooth probability density functions on M.
Integral geometry of complex space forms
Integral geometry complex space forms Differential Geometry
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2012/4/18
Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms ...