Results 21 to 30 of about 324 (50)

Eigenvalue Estimates for submanifolds of $N \times \mathbb{R}$ with locally bounded mean curvature

open access: yes, 2008
We give lower bounds for the fundamental tone of open sets in submanifolds with locally bounded mean curvature in $ N \times \mathbb{R}$, where $N$ is an $n$-dimensional complete Riemannian manifold with radial sectional curvature $K_{N} \leq \kappa ...
Bessa, G. Pacelli, Costa, M. Silvana
core   +1 more source

Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms

open access: yes, 2010
We give a spinorial characterization of isometrically immersed surfaces of arbitrary signature into 3-dimensional pseudo-Riemannian space forms. For Lorentzian surfaces, this generalizes a recent work of the first author in $\mathbb{R}^{2,1}$ to other ...
B O’Neill   +8 more
core   +1 more source

Quantum Layers over Surfaces Ruled Outside a Compact Set

open access: yes, 2007
In this paper, we proved the quantum layer over a surface which is ruled outside a compact set, asymptotically flat but not totally geodesic admits ground ...
Christopher Lin   +4 more
core   +2 more sources

Rigidity of compact Riemannian spin Manifolds with Boundary

open access: yes, 2008
In this article, we prove new rigidity results for compact Riemannian spin manifolds with boundary whose scalar curvature is bounded from below by a non-positive constant. In particular, we obtain generalizations of a result of Hang-Wang \cite{hangwang1}
A. Ros   +23 more
core   +1 more source

Bounds for eigenvalue ratios of the Laplacian [PDF]

open access: yes, 2011
For a bounded domain $\Omega$ with a piecewise smooth boundary in an $n$-dimensional Euclidean space $\mathbf{R}^{n}$, we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian.
Q. -m. Cheng   +3 more
core  

Regularized Laplacian determinants of self-similar fractals. [PDF]

open access: yesLett Math Phys, 2018
Chen JP, Teplyaev A, Tsougkas K.
europepmc   +1 more source

A Polyakov Formula for Sectors. [PDF]

open access: yesJ Geom Anal, 2018
Aldana CL, Rowlett J.
europepmc   +1 more source

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