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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
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...
Asymptotic estimates on the time derivative of entropy on a Riemannian manifold
the time derivative entropy Riemannian manifold
2010/11/23
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the manifold is compact, we provide two estimates on the rate of change of the entropy in terms of the lower...
The Tambara-Yamagami categories and 3-manifold invariants
Tambara-Yamagami categories 3-manifold invariants
2010/12/3
We prove that if two Tambara-Yamagami categories T Y(A, , )and T Y(A′, ′, ′) give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A,A′ is odd, then = ′ a...
Partial Isometries of a Sub-Riemannian Manifold
Sub-Riemannian manifold partial isometry Carnot-caratheodory metric path-isometry
2010/12/13
In this paper, we obtain the following generalisation of isometric C1-immersion theorem of Nash and Kuiper. Let M be a smooth manifold of dimension m and H a rank k subbundle of the tangent bundle TM ...
Every closed Kähler manifold with degree of mobility $\ge 3$ is $(CP(n), g_{Fubini-Study})$
Every closed Kä hler manifold degree
2010/12/14
The degree of mobility of a (pseudo-Riemannian) K¨ahler metric is the dimension of the space of metrics h-projectively equivalent to it. We prove that a metric on a closed connected manifold can not h...
Holomorphic Functions of Exponential Growth on Abelian Coverings of a Projective Manifold
Holomorphic Functions Exponential Growth Projective Manifold
2010/10/29
Let M be a projective manifold, p:M_{G} --> M a regular covering over M with a free abelian transformation group G. We describe holomorphic functions on M_{G} of an exponential growth with respect to...