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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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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Rigidity of minimal submanifolds in hyperbolic space
, 2010 We prove that if an $n$-dimensional complete minimal submanifold $M$ in hyperbolic space has sufficiently small total scalar curvature then $M$ has only one end. We also prove that for such $M$ there exist no nontrivial $L^2$ harmonic 1-forms on $M$
D. Hoffman +11 more
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A note on twisted Dirac operators on closed surfaces
, 2018 We derive an inequality that relates nodal set and eigenvalues of a class of twisted Dirac operators on closed surfaces and point out how this inequality naturally arises as an eigenvalue estimate for the $\rm Spin^c$ Dirac operator.
Branding, Volker
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Curvature estimates for submanifolds in warped products
, 2010 We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space
Alias, L. J. +3 more
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Bounds for eigenvalue ratios of the Laplacian [PDF]
, 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
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Regularized Laplacian determinants of self-similar fractals. [PDF]
Lett Math Phys, 2018 Chen JP, Teplyaev A, Tsougkas K.
europepmc +1 more source
A Polyakov Formula for Sectors. [PDF]
J Geom Anal, 2018 Aldana CL, Rowlett J.
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Isolation of polymer-degrading bacteria and characterization of the hindgut bacterial community from the detritus-feeding larvae of Tipula abdominalis (Diptera: Tipulidae). [PDF]
Appl Environ Microbiol, 2007 Cook DM +3 more
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Tropical parabiotic ants: Highly unusual cuticular substances and low interspecific discrimination. [PDF]
Front Zool, 2008 Menzel F, Blüthgen N, Schmitt T.
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