搜索结果: 61-75 共查到“知识库 微分几何学”相关记录252条 . 查询时间(4.427 秒)
The Energy-Momentum tensor on low dimensional $\Spinc$ manifolds
Spinc structures Dirac operator eigenvalues Energy-Momentum tensor compact surfaces isometric immersions
2012/4/18
On a compact surface endowed with any $\Spinc$ structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a B\"{a}r-type inequality for the eige...
Minimal surface systems, maximal surface systems, and special Lagrangian equations
minimal submanifold special Lagrangian equation entire solution
2012/4/17
We extend Osserman's lemma on the generalized Gauss map of two-dimensional minimal graphs of higher codimension, construct a Jenkins-Serrin type special Lagrangian Scherk graph explicitly, and general...
The H-flow translating solitons in R^3 and R^4
H-flow translating solitons R^3 R^4 Differential Geometry
2012/4/17
Motivated by Ilmanen's correspondence, we present an explicit solution to the prescribed Hoffman-Osserman Gauss map problem for non-minimal translators to the mean curvature flow in Euclidean 4-space....
Interior partial regularity for minimal Lp-vectorfields with integer fluxes
Interior partial regularity minimal Lp-vectorfields integer fluxes
2012/4/17
We use a new combinatorial technique to prove the optimal interior partial regularity result for Lp-vectorfields with integer fluxes minimizing the Lp-energy. More precisely, we prove that the minimal...
Notes on a slice distance for singular Lp-bundles
Notes slice distance singular Lp-bundles Differential Geometry
2012/4/17
A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivi\`ere, where it was used to prove the closure of such c...
Integral estimates for the trace of symmetric operators on complete submanifolds
Integral estimates trace of symmetric operators complete submanifolds Differential Geometry
2012/4/17
Let $\Phi:TM\to TM$ be a positive-semidefinite operator of class $C^1$ defined on a complete noncompact manifold $M$ isometrically immersed in a Hadamard space $\bar{M}$. In this paper, we given condi...
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...
Deforming submanifolds of arbitrary codimension in a sphere
Mean curvature flow submanifolds of spheres convergence theorem differentiable sphere theorem integral curvature
2012/4/17
In this paper, we prove some convergence theorems for the mean curvature flow of closed submanifolds in the unit sphere $\mathbb{S}^{n+d}$ under integral curvature conditions. As a consequence, we obt...
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Ricci curvature metric measure spaces branching metric spaces Differential Geometry
2012/3/1
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
Isometric deformations of minimal surfaces in $S^{4}$
Minimal surfaces in S4 isometric deformation normal curvature function
2012/3/1
We consider the isometric deformation problem for oriented non simply connected immersed minimal surfaces $f:M \to S^{4}$. We prove that the space of all isometric minimal immersions of $M$ into $S^{4...
Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion
Vanishing theorems (l|k)-strong Kaehler manifolds torsion
2012/3/1
We derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\omega^l\wedge \partial\bar\partial \omega^k=0$, Kaehler manifolds with torsion. In particula...
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...
The Gronwall conjecture states that a planar 3-web of foliations which admits more than one distinct linearizations is locally equivalent to an algebraic web. We propose an analogue of the Gronwall co...
A note on Canonical Ricci forms on 2-step nilmanifolds
note Canonical Ricci forms 2-step nilmanifolds
2012/2/29
In this note we prove that any left-invariant almost Hermitian structure on a 2-step nilmanifold is Ricci-flat with respect to the Chern connection and that it is Ricci -flat with respect to another c...
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.