Results 11 to 20 of about 302 (31)
A Spectral Bernstein Theorem [PDF]
, 2010 We study the spectrum of the Laplace operator of a complete minimal properly immersed hypersurface $M$ in $\R^{n+1}$. (1) Under a volume growth condition on extrinsic balls and a condition on the unit normal at infinity, we prove that $M$ has only ...
B. Smyth +20 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we are concerned with the study of the spectrum for a class of eigenvalue problems driven by two non-homogeneous differential operators with different variable growth and an indefinite potential in the following ...
Uţă Vasile-Florin
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The Lichnerowicz theorem on CR manifolds [PDF]
, 2006 We obtain a Bochner type formula and an estimate from below on the spectrum of the sublaplacian of a compact strictly pseudoconvex CR manifold.Comment: 21 ...
Barletta, Elisabetta
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
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Foliations and Chern-Heinz inequalities
, 2006 We extend the Chern-Heinz inequalities about mean curvature and scalar curvature of graphs of $C^{2}$-functions to leaves of transversally oriented codimension one $C^{2}$-foliations of Riemannian manifolds.
Cheeger +7 more
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Characters and transfer maps via categorified traces
Forum of Mathematics, SigmaWe develop a theory of generalized characters of local systems in $\infty $ -categories, which extends classical character theory for group representations and, in particular, the induced character formula.
Shachar Carmeli +3 more
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On the spectrum of the twisted Dolbeault Laplacian over K\"ahler manifolds
, 2008 We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Dolbeault Laplacian twisted by Hermitian-Einstein connections on vector bundles of negative degree over compact K\"ahler manifolds.Comment: 14 pages ...
Jardim M. +2 more
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Eigenvalue Estimates for submanifolds of $N \times \mathbb{R}$ with locally bounded mean curvature
, 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
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Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms
, 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
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A lower bound for the nodal sets of Steklov eigenfunctions
, 2015 We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_\lambda$ be its nodal set.
Wang, Xing, Zhu, Jiuyi
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