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On gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
Nonlinear parabolic equations Gradient estimates
2010/9/25
Let (M,g) be a complete noncompact Riemannian manifold. In this note, we derive a local gradient estimate for positive solution to a simple nonlinear parabolic equation
Liouville-type theorems and applications to geometry on complete Riemannian manifolds
Liouville-type theorems geometry complete Riemannian manifolds
2010/11/11
On a complete Riemannian manifold M with Ricci curvature satisfying $$\textrm{Ric}(\nabla r,\nabla r) \geq -Ar^2(\log r)^2(\log(\log r))^2...(\log^{k}r)^2$$ for $r\gg 1$, where A>0 is a constant, and ...
On the curvature of $K$-contact Riemannian manifolds with constant Phi-sectional curvature with a submersion of geodesic fibres
K-contact Riemannian manifold almost K¨ahler manifold constant Á -sectional curvature Riemannian flow submersion with geodesic fibres
2009/2/18
We give the curvature tensor of K-contact Riemannian manifolds of constant
Á-sectional curvature.
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian pseudo-Riemannian manifolds
2009/2/7
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian and pseudo-Riemannian manifolds
2009/1/12
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
On the curvature of K-contact Riemannian manifolds with constant ©¡sectional curvature with a submersion of geodesic fibres
K-contact Riemannian manifold almost K¨ahler manifold constant Á -sectional curvature Riemannian flow submersion with geodesic fibres
2009/1/8
We give the curvature tensor of K-contact Riemannian manifolds of constant
Á-sectional curvature.