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Laplacian eigenvalue functionals and metric deformations on compact manifolds - MaRDI portal

Laplacian eigenvalue functionals and metric deformations on compact manifolds (Q2474529)

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Language	Label	Description	Also known as
English	Laplacian eigenvalue functionals and metric deformations on compact manifolds	scientific article

Statements

scholarly article

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Laplacian eigenvalue functionals and metric deformations on compact manifolds (English)

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Journal of Geometry and Physics

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publication date

6 March 2008

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full work available at URL

https://arxiv.org/abs/math/0701777

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zbMATH Keywords

eigenvalues

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Laplacian

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critical metrics

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MaRDI profile type

MaRDI publication profile

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A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus

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Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds

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Laplacians and Riemannian submersions with totally geodesic fibres

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Riemannian Metrics with Large λ 1

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Extremal eigenvalues of the Laplacian in a conformal class of metrics: the `conformal spectrum'

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Construction de laplaciens dont une partie finie du spectre est donnée

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A Report on Harmonic Maps

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Harmonic Maps and Minimal Immersions with Symmetries (AM-130)

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A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle

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Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)

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Riemannian manifolds admitting isometric immersions by their first eigenfunctions

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Critical metrics of the trace of the heat kernel on a compact manifold.

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Extremal metrics for the first eigenvalue of the Laplacian in a conformal class

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S\({}^ 1\)-equivariant minimal tori in \(S^ 4\) and \(S^ 1\)-equivariant Willmore tori in \(S^ 3\)

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Minimal cones and the spherical Bernstein problem. I

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Extremal Metric for the First Eigenvalue on a Klein Bottle

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Upper bounds for eigenvalues of conformal metrics

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A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

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The first eigenvalue of the Laplacian on even dimensional spheres

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Homogeneous minimal hypersurfaces in the unit spheres and the first eigenvalues of their Laplacian

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Berger's isoperimetric problem and minimal immersions of surfaces

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Classification of harmonic mappings of constant energy density into spheres

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Minimal immersions of Riemannian manifolds

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The first eigenvalue of the Laplacian on spheres

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Finite Möbius groups, minimal immersions of spheres, and moduli

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On the least positive eigenvalue of the Laplacian for compact group manifolds

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Identifiers

zbMATH Open document ID

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10.1016/j.geomphys.2007.09.008

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2474529

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