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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mean curvature flow coming out of cones
圆锥体 流出 平均曲率流
2023/4/13
We study mean curvature flows (MCFs) coming out of cones. As cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the self-expanders. We wi...
An analytic approach to the stratified Morse inequalities for complex cones
complex cones stratified Morse inequalities Differential Geometry
2011/8/30
Abstract: In a previous article the author extended the Witten deformation to singular spaces with cone-like singularities and to a class of Morse functions called admissible Morse functions. The meth...
Cox rings and pseudoeffective cones of projectivized toric vector bundles
Cox rings projectivized toric vector bundles
2010/12/13
We study projectivizations of a special class of toric vector bundles that includes cotangent bundles, whose associated Klyachko filtrations are particularly simple.
Lower and upper bounds for nef cones
nef cones
2010/11/26
The nef cone of a projective variety Y is an important and often elusive invariant. In this paper we construct two polyhedral lower bounds and one polyhedral upper bound for the nef cone of Y using an...
We establish a classification of cubic minimal cones in case of the so-called radial
eigencubics. Our principal result states that any radial eigencubic is either a member of the
infinite family of ...
Application of Hilbert's Projective metric on Symmetric Cones
Hilbert's projective metric Symmetric cone
2007/12/11
Let $\Omega$ be a symmetric cone. In this note, we introduce Hilbert's projective metric on $\Omega$ in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation...
Local Isoperimetric Inequalities for Sectors on Surfaces and Cones
isoperimetric cones solid angle
2007/12/11
On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also w...