The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics

DOI10.1023/A:1022439916298zbMath0955.53022WikidataQ114652396 ScholiaQ114652396MaRDI QIDQ4515366

No author found.

Publication date: 13 November 2000

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30480

zbMATH Keywords

heat equationRiemannian submersionminimal submanifoldBochner Laplacian

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

• Unnamed Item
• Laplacians and Riemannian submersions with totally geodesic fibres
• Riemannian submersions commuting with the Laplacian
• Riemannian submersions which preserve the eigenforms of the Laplacian
• Manifold maps commuting with the Laplacian
• Einstein manifolds
• Curvature and the eigenvalues of the Laplacian
• The heat content asymptotics of a time-dependent process
• The Asymptotics of The Laplacian on a Manifold with Boundary