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三亚国际数学论坛：Curvatures of Graphs,Simplicial Complexes and Metric Spaces（Curvatures of Graphs,Simplicial Complexes and Metric Spaces ）
三亚国际数学论坛 Curvatures of Graphs Simplicial Complexes Metric Spaces
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2017/1/10
Curvature is a notion originally developed in differential and Riemannian geometry. It was then discovered that curvature inequalities in Riemannian manifolds are equivalent to other geometric propert...
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.
CURVATURES OF DIRECT IMAGE SHEAVES OF VECTOR BUNDLES AND APPLICATIONS
CURVATURES DIRECT IMAGE SHEAVES VECTOR BUNDLES APPLICATIONS
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2018/4/19
Let p : X ! S be a smooth K¨ahler fibration and E ! X a Hermitian holomorphic vector bundle. As motivated by the work of Berdtsson([Bern09]), by using basic Hodge theory, we derive several general cur...
Curvatures of weighted metrics on tangent sphere bundles
metric connection tangent sphere bundle curvature
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2011/9/21
Abstract: We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvature metrics ...
SO(n)\SO_0(n,1) has Positive Curvatures
Homogeneous submersion Warped product Semi-simple Lie group
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2011/1/17
The Lie group SO0(n, 1) has the left-invariant metric com-ing from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left. The geometry of the quo-tient s...
Lipschitz-Killing curvatures of self-similar random fractals
self-similar random fractals curvatures Minkowski content
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2010/12/15
For a large class of self-similar random sets F in Rd geometric parameters Ck(F), k = 0, . . . , d, are introduced. They arise as a.s. (average or essential) limits of the volume Cd(F(")), the surface...
SOME NEW GEOMETRICAL SIGNIFICANCES OF THE PROJECTIVE CURVATURES AND THE CURVATURE FORM OF A SPACE CURVE
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2007/12/12
<正> Su has recently established the projective theory of space curvesby a purely geometrical method and has shown among other thingsthat the projective invariants of a curve can simply be expressed by...
THE YAMABE PROBLEM FOR HIGHER ORDER CURVATURES
YAMABE PROBLEM HIGHER ORDER CURVATURES
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2018/4/20
Let M be a compact Riemannian manifold of dimension n. The k-curvature,for k = 1; 2; ￠ ￠ ￠ ; n, is defined as the k-th elementary symmetric polynomial of the eigenvalues of the Schouten tenser. The k-...