Operators on Riemannian Manifolds: Hodge Laplacian, Laplace-Beltrami Laplacian, the Bochner Laplacian, and Weitzenböck Formulae

Jean Gallier; Jocelyn Quaintance

doi:10.1007/978-3-030-46047-1_8

ScienceGate Book Chapters

BOOK-CHAPTER

Operators on Riemannian Manifolds: Hodge Laplacian, Laplace-Beltrami Laplacian, the Bochner Laplacian, and Weitzenböck Formulae

Jean Gallier Jocelyn Quaintance

Year: 2020 Geometry and computing Pages: 361-401 Publisher: Springer Nature

DOI: 10.1007/978-3-030-46047-1_8

Get Full-Text PDF Get Analytical Report

Keywords:

Laplace operator Mathematics Cohomology Pure mathematics Hodge theory Differential form De Rham cohomology Manifold (fluid mechanics) Poincaré duality Riemannian manifold Hodge dual Mathematical analysis Equivariant cohomology

Metrics

Cited By

0.00

FWCI (Field Weighted Citation Impact)

Refs

0.19

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Topics

Advanced Mathematical Modeling in Engineering

Physical Sciences → Computer Science → Computational Theory and Mathematics

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Numerical methods in inverse problems

Physical Sciences → Mathematics → Mathematical Physics

Operators on Riemannian Manifolds: Hodge Laplacian, Laplace-Beltrami Laplacian, the Bochner Laplacian, and Weitzenböck Formulae

Metrics

Topics

Related Documents

Discretization of Riemannian manifolds applied to the Hodge Laplacian

The Hodge-laplacian: Boundary Value Problems on Riemannian Manifolds

The Laplacian on Riemannian manifolds

Empirical graph Laplacian approximation of Laplace–Beltrami operators: Large sample results

Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds