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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
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 ...
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...
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...

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