Conservative principle for differential forms

DOI10.4171/RLM/501zbMath1139.58017MaRDI QIDQ931053

Jun Masamune

Publication date: 24 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemConservative principleDifferential forms

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (max. 100)

Heat conservation for generalized Dirac Laplacians on manifolds with boundary ⋮ Vanishing and conservativeness of harmonic forms of a non-compact CR manifold ⋮ Self-adjoint extensions of differential operators on Riemannian manifolds

Cites Work

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• Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
• Lower bounds for the eigenvalues of Riemannian manifolds
• Pseudo-laplaciens. I
• Domination of semigroups and generalization of Kato's inequality
• Bounded and \(L^2\) harmonic forms on universal covers
• Essential self-adjointness of powers of generators of hyperbolic equations
• A lower bound for the heat kernel
• Behavior of diffusion semi-groups at infinity
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Essential self adjointness of laplacians on riemannian manifolds with fractal boundary

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