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Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Local energy decay resolvent smoothness wave equation odd dimensions low frequencies asymptotically Euclidean manifolds
2011/9/21
Abstract: We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the ...
Infinite dimensional manifolds from a new point of view
infinite dimensional manifolds de Rham theorem
2011/3/1
In this paper we propose a new treatment about infinite dimensional manifolds, using the language of category and functor. Our definition of infinite dimensional manifolds is a natural generalization ...
The Connes-Chern Character and The Atiyah-Patodi-Singer Index Theorem for Odd Dimensional Manifolds with Boundary
The Connes-Chern Character The Atiyah-Patodi-Singer Index Theorem
2010/11/9
We prove an analogue for odd dimensional manifolds with boundary, in the $b$-calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and by Wu.
Explicit integrable systems on two dimensional manifolds with a cubic first integral
Explicit integrable systems dimensional manifolds first integral
2010/4/2
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these mod...
Condition of Prequantization
to Two-Dimensional Manifolds with Boundary
Weil's condition boundary prequantization
2007/8/15
2001Vol.35No.3pp.263-266DOI:
Condition of Prequantization
to Two-Dimensional Manifolds with Boundary
SHAO Ming-Xue2,3 and ZHU Zhong-Yuan1
1 Institute of Theoretical Phy...