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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kazdan-Warner equations on compact Riemann surfaces
紧黎曼曲面 卡兹丹-华纳方程 数学
2023/4/28
In this talk, we shall review firstly the study history of Kazdan-Warner equations on compact Riemann surfaces, which was proposed by Kazdan and Warner on Annals of Math on 1974. Then we shall show th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent developments on random hyperbolic surfaces of large genus
大属随机 双曲曲面 球面几何
2023/4/21
In this talk, we report several very recent asymptotic results on certain classical geometric quantities viewed as random variables on the moduli space of Riemann surfaces for large genus (and many cu...
Two classes of slant surfaces in nearly Kahler six sphere
slant surfaces K¨ahler angle octonions six sphere
2010/12/14
In this paper we find examples of slant surfaces in the nearly K¨ahler six sphere. First, we characterize two-dimensional small and great spheres which are slant.
Partitioning the triangles of the cross polytope into surfaces
cross polytope simplicial complexes triangulated surfaces difference cycles.
2010/12/6
We present a constructive proof, that there exists a decomposition of the 2-skeleton of the
k-dimensional cross polytope k into closed surfaces of genus ¤ 1, each with a transitive
automorphism gro...
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Bloch-Beilinson conjecture K3 surfaces spherical objects
2010/12/10
For a projective K3 surface X over an algebraically closed field k let Db(X) denote the bounded derived category of coherent sheaves. Spherical objects, e.g. line bundles and rigid
stable bundles, pl...
Weierstrass representation formulae of minimal surfaces in $H_3$ and $H^2\times R$
Minimal immersions Weierstrass representation Heisenberg group Hyperbolic space
2007/12/11
We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the t...
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...