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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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3 results for “Beltrami-Laplacian”

Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature conditionmath.DG

Eigenvalue estimates for Beltrami-Laplacian under specific curvature conditions.

problem Estimating eigenvalues of the Beltrami-Laplacian on manifolds with Bakry-Émery Ricci curvature.

method Using Bakry-Émery Ricci curvature conditions, the paper derives lower bounds for eigenvalues of the Beltrami-Laplacian.

result Lower bounds for eigenvalues of the Beltrami-Laplacian depend on curvature, gradient bounds, dimension, and diameter of the manifold.

Eigenvalue estimates Beltrami-Laplacian Ricci curvature Bakry-Émery Manifolds

2021-08-16abs ↗pdf ↗

The First Eigenvalue for the Bi-Beltrami-Laplacian on Minimal Isoparametric Hypersurfaces of

\mathbb{S}^{n+1}(1)

math.DG

In this paper, we investigate the first eigenvalues of two closed eigenvalue problems of the bi-Beltrami-Laplacian on minimal embedded isoparametric hypersurface in the unit sphere $\mathbb{S}^{n+1}(1)$ . Although many mathematicians want to derive the corresponding results for the first eigenvalues of bi-Beltrami-Lapla…

2016-12-05abs ↗pdf ↗

Sharp bottom spectrum and scalar curvature rigiditymath.DG

Sharp bounds on scalar curvature spectrum and rigidity theorems.

problem Understanding scalar curvature bounds and rigidity on manifolds.

method Sharp upper bounds for the bottom spectrum of the Beltrami Laplacian, scalar curvature rigidity theorem.

result Sharp upper bound for the bottom spectrum of the Beltrami Laplacian and scalar curvature rigidity theorem.

scalar curvature rigidity Beltrami Laplacian Riemannian manifolds

2024-08-15abs ↗pdf ↗