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A Critical Exponent of Fujita Type for a Nonlinear Reaction-Di usion System on Riemannian Manifold
critical exponent reaction-di usion system Riemannian manifold.
2012/12/12
In this paper, we study the global existence and nonexistence of positive solutions to the
following nonlinear reaction-di usion system
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ut u = W(x)vp + S(x...
Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes
spectral problem Riemannian manifold consisting
2010/11/17
The paper deals with the asymptotic behavior as $\eps\to 0$ of the spectrum of Laplace-Beltrami operator $\Delta\e$ on the Riemannian manifold $M\e$ ($\mathrm{\dim} M\e=N\geq 2$) depending on a small ...
Asymptotic estimates on the time derivative of entropy on a Riemannian manifold
the time derivative entropy Riemannian manifold
2010/11/17
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...
Geodesics and distance on the Riemannian manifold of Riemannian metrics
the Riemannian manifold Riemannian metrics
2010/11/1
Given a fixed closed manifold M, we exhibit an explicit formula for the distance function of the canonical L^2 Riemannian metric on the manifold of all smooth Riemannian metrics on M. Additionally, w...
The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes
Isoperimetric Profile Noncompact Riemannian Manifold for Small Volumes
2010/9/3
Let M be an n-dimensional Riemannian manifold. We deal, mainly, with the problem of finding a relatively compact domain D ⊂⊂ M that minimizes Area(∂D) among domains of the same volum...
Partial Isometries of a Sub-Riemannian Manifold
Sub-Riemannian manifold partial isometry Carnot-caratheodory metric path-isometry
2010/9/1
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 ...
Coisotropic Submanifolds of a Semi-Riemannian Manifold
Semi-Riemannian manifold Lightlike submanifolds Coisotropic submanifolds
2003/4/10
In this paper, we study coisotropic submanifolds of a semi-Riemannian manifold. We investigate the integrability condition of the screen distribution and give a necessary and sufficient condition on R...