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Gradient estimates for a simple nonlinear heat equation on manifolds
nonlinear heat equation gradient estimate
2010/11/29
In this paper, we study the gradient estimate for positive solutions to the following nonlinear heat equation problem ut − u = au log u + V u, u > 0 on the compact Riemannian manifold (M, g) of...
Hamilton type estimates for heat equations on manifolds
drifting Laplacian nonlinear heat equation gradient estimate
2010/11/29
In this paper, we study the gradient estimates of Hamilton type for positive solutions to both drifting heat equation and the simple nonlinear heat equation problem ut − u = au log u, u > 0 on ...
Curvature estimates for submanifolds in warped products
Warped product manifolds Omori-Yau maximum principle weak Omori-Yau maximum principle
2010/12/8
We give estimates on the intrinsic and the extrinsic cur-vature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the...
Round handles, logarithmic transforms, and smooth 4-manifolds
Round handles logarithmic transforms smooth 4-manifolds
2010/11/29
Round handles are aliated with smooth 4-manifolds in two major ways: 5-dimensional round handles appear extensively as the building blocks in cobordisms between 4-manifolds, whereas 4-dimensional rou...
Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions
Hybrid Godunov Method Radiation Hydrodynamics Multiple Dimensions
2010/12/15
This paper presents a hybrid Godunov method for three-dimensional radiation hydrodynamics.
The multidimensional technique outlined in this paper is an extension of the one-dimensional method that was...
Examples of non-polygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Examples of non-polygonal infinite coexistence spatial growth models
2010/12/6
We construct an edge-weight distribution for i.i.d. first-passage percolation on Z2 whose limit shape is not a polygon and has extreme points which are arbitrarily dense in the boundary. Consequently,...
Extended Range Profiling in Stepped-Frequency Radar with Sparse Recovery
Extended Range Profiling Stepped-Frequency Radar Sparse Recovery
2010/12/13
The newly emerging theory of compressed sensing
(CS) enables restoring a sparse signal from inadequate number of linear projections. Based on compressed sensing theory, a new algorithm of high-resolu...
Network Flows for Functions
Network Flows Functions
2010/12/16
We consider in-network computation of an arbitrary function over an arbitrary communication network. A network with capacity constraints on the links is given. Some nodes in the network generate data,...
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...
Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Heat kernel estimates $\bar\partial$-Neumann problem $G$-manifolds
2010/12/13
We prove heat kernel estimates for the ¯@-Neumann Laplacian acting in spaces of differential forms over noncompact manifolds with a Lie group symmetry and compact quotient. We
also relate our ...
Submanifolds in manifolds with metric mixed 3-structures
invariant submanifold anti-invariant submanifold mixed 3-structure Einstein manifold
2010/12/15
Mixed 3-structures are odd-dimensional analogues of paraquaternionic structures. They appear naturally on lightlike hypersurfaces of almost paraquaternionic hermitian manifolds. We study invariant and...
We extract an invariant taking values in N ∪ {∞}, which we call the order of algebraic torsion, from the Symplectic Field Theory of a closed contact manifold, and show that its finiteness gives obstru...
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...
Algebro-geometric semistability of polarized toric manifolds
Algebro-geometric semistability polarized toric manifolds
2010/11/26
Let Rn be an n-dimensional integral Delzant polytope. It is wellknown that there exist the n-dimensional compact toric manifold X and the very ample (C×)n-equivariant line bundle L on X associa...
Stability of Strongly Gauduchon Manifolds under Modifications
Stability Strongly Gauduchon Manifolds Modifications
2010/12/14
In our previous works on deformation limits of projective and Moishezon manifolds, we introduced and made crucial use of the notion of strongly Gauduchon metrics as a reinforcement of the earlier noti...