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Mean curvature flow of higher codimension in Riemannian manifolds
Mean curvature flow submanifolds convergence theorem curvature pinching Riemannian manifolds
2012/4/17
We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies a pinching conditio...
On $(N(k),ξ)$-semi-Riemannian manifolds: Pseudosymmetries
T -curvature tensor quasi-conformal curvature tensor conformal curvature tensor conharmonic curvature tensor concircular curvature tensor
2012/3/1
Definition of $({\cal T}_{a},{\cal T}_{b})$-pseudosymmetric semi-Riemannian manifold is given. $({\cal T}_{a},{\cal T}_{b})$-pseudosy mmetric $(N(k),\xi)$-semi-Riemannian manifolds are classified. Som...
Index of quasi-conformally symmetric semi-Riemannian manifolds
Index of a semi-Riemannian manifold metric connection quasi-conformal curvature tensor
2012/2/29
We find the index of $\widetilde{\nabla}$-quasi-conformally symmetric and $\widetilde{\nabla}$-concircularly symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is metric connection.
On $(N(k),ξ)$-semi-Riemannian manifolds: Semisymmetries
(N(k), ξ)-semi-Riemannian manifold T -curvature tensor quasi-conformal curvature tensor
2012/2/29
$(N(k),\xi)$-semi-Riemannian manifolds are defined. Examples and properties of $(N(k),\xi)$-semi-Riemannian manifolds are given. Some relations involving ${\cal T}_{a}$-curvature tensor in $(N(k),\xi)...
Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds
Caccioppoli’s inequality Simons’ equation constant mean curvature hypersurfaces stable finite index
2011/9/14
Abstract: We prove some Caccioppoli's inequalities for the traceless part of the second fundamental form of a complete, non compact, finite index, constant mean curvature hypersurface of a Riemannian ...
Polyhedral approximations of Riemannian manifolds
Polyhedral approximations Riemannian manifolds
2010/3/1
I'm trying to understand which Riemannian manifolds can be Lipschitz approximated by polyhedral spaces of the same dimension with curvature bounded below. The necessary conditions I found consist of s...
Some properties of the first eigenvalue of the p(x)-laplacian on riemannian manifolds
Variable exponent Lebesgue and Sobolev spaces first eigenvalue Riemannian manifolds p(x)-Laplacian
2010/2/25
The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet bound...