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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Exponential mixing of frame flows for geometrically finite hyperbolic manifolds with cusps
几何有限 双曲流形带尖 框架流 指数混合
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2023/5/4
I will present the joint work with Jialun Li and Pratyush Sarkar in the talk. As a final work to establish that the frame flows for geometrically finite hyperbolic manifolds of arbitrary dimensions ar...
Bounding hyperbolic and spherical coefficients of Maass forms, with V. Blomer, F. Brumley and A. Kontorovich
Maass forms Fourier coeffcients geodesics periods equidistribution Sobolev norms wave front lemma
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2015/8/25
We develop a new method to bound the hyperbolic and spherical Fourier coecients of Maass forms de ned with respect to arbitrary uniform lattices.
A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold
Asymptotically hyperbolic manifold Constraint equations Conformal method
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2011/3/2
We construct solutions of the constraint equation with non constant mean curvature on an
asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
isoparametric hypersurfaces hyperbolic spaces
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2010/11/24
We construct examples of inhomogeneous isoparametric real hypersurfaces in complex hyperbolic spaces.