Eigenvalue Estimates for submanifolds of $N \times \mathbb{R}$ with locally bounded mean curvature
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
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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Quantum Layers over Surfaces Ruled Outside a Compact Set
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
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Rigidity of compact Riemannian spin Manifolds with Boundary
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
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Bounds for eigenvalue ratios of the Laplacian [PDF]
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]
Chen JP, Teplyaev A, Tsougkas K.
europepmc +1 more source
A Polyakov Formula for Sectors. [PDF]
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]
Cook DM +3 more
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Tropical parabiotic ants: Highly unusual cuticular substances and low interspecific discrimination. [PDF]
Menzel F, Blüthgen N, Schmitt T.
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Geometric Bounds for Low Steklov Eigenvalues of Finite Volume Hyperbolic Surfaces. [PDF]
Hassannezhad A, Métras A, Perrin H.
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