Results 51 to 60 of about 211,213 (315)
Frontiers in Physics, 2022 This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds.
Ali H. Alkhaldi +3 more
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Recent rigidity results for graphs with prescribed mean curvature
Mathematics in Engineering, 2021 This survey describes some recent rigidity results obtained by the authors for the prescribed mean curvature problem on graphs u : M → R. Emphasis is put on minimal, CMC and capillary graphs, as well as on graphical solitons for the mean curvature flow ...
Bruno Bianchini +5 more
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The Dirac operator on untrapped surfaces [PDF]
, 2011 We establish a sharp extrinsic lower bound for the first eigenvalue of the Dirac operator of an untrapped surface in initial data sets without apparent horizon in terms of the norm of its mean curvature vector. The equality case leads to rigidity results
C. Bär +26 more
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On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres [PDF]
Sahand Communications in Mathematical Analysis, 2021 In mathematical physics, the stable hypersurfaces of constant mean curvature in pseudo-Euclidian spheres have been interested by many researchers on general relativity.
Behzad Esmaeili +2 more
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Global structure of positive solutions for problem with mean curvature operator on an annular domain [PDF]
Rocky Mountain Journal of Mathematics, 2018 Xiaofei Cao, Guowei Dai, Ning Zhang
openalex +2 more sources
New relationships involving the mean curvature of slant submanifolds in S-space-forms [PDF]
, 2007 Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with the mean curvature vector and the sectional curvature function for slant submanifolds of an S-space-form are proved, particularizing ...
Fernández Fernández, Luis Manuel +1 more
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AIMS Mathematics, 2022 In this study, we seek to establish new upper bounds for the mean curvature and constant sectional curvature of the first positive eigenvalue of the α-Laplacian operator on Riemannian manifolds.
Meraj Ali Khan +2 more
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Classification of f-biharmonic submanifolds in Lorentz space forms
Open Mathematics, 2021 In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal ...
Du Li
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Riemannian foliations and the kernel of the basic Dirac operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper, in the special setting of a Riemannian foliation en- dowed with a bundle-like metric, we obtain conditions that force the vanishing of the kernel of the basic Dirac operator associated to the metric; this way we extend the traditional ...
Slesar Vladimir
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A class of hypersurfaces in $ \mathbb{E}^{n+1}_{s} $ satisfying $ \Delta \vec{H} = \lambda\vec{H} $
AIMS Mathematics, 2022 A nondegenerate hypersurface in a pseudo-Euclidean space $ \mathbb{E}^{n+1}_{s} $ is called to have proper mean curvature vector if its mean curvature $ \vec{H} $ satisfies $ \Delta \vec{H} = \lambda \vec{H} $ for a constant $ \lambda $.
Dan Yang +3 more
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