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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Geometry of Landau-Ginzburg Model
朗道-金茨堡模型 几何 非紧复流形M
2023/5/15
An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, th...
A REMARK ON GEODESIC GEOMETRY OF TEICHMULLER SPACES
GEODESIC GEOMETRY TEICHMULLER SPACES
2014/9/26
Let T (S) be the Teichm¨uller space of a hyperbolic Riemann surface S and let
Belt(S) be the Banach space of bounded measurable Beltrami differentials μ =
μdz/dz on S with L∞-norms. Suppose M(...
On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus
Geometry of the Nodal Lines of Eigenfunctions Two-Dimensional Torus
2011/2/22
The width of a convex curve in the plane is the minimal distance between a pair of parallel supporting lines of the curve. In this paper we study the width of nodal lines of eigenfunctions of the Lapl...
Geometry of CR submanifolds of maximal CR dimension in complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/24
On real hypersurfaces in complex space forms many results are proven.In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifolds of maximal CR dime...
Amusing properties of Klein-Gordon solutions on manifolds with variable geometry
properties Klein-Gordon solutions on manifolds variable geometry
2010/12/16
This work develops the recent proposition to use dimensional reduction from the four-imensional space-time to the one with a smaller number of dimensions (1 + d); d < 3 at high enough energy.To this g...