Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates

DOI10.1016/j.acha.2023.101619zbMath1530.53026arXiv2206.06790MaRDI QIDQ6138932

Petre Birtea, Dan Comănescu, Ioan Caşu

Publication date: 16 January 2024

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.06790

zbMATH Keywords

orthogonal groupLaplace-Beltrami operatorconstraint manifold

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Unnamed Item
• Diffusions with polynomial eigenvectors via finite subgroups of \(O(3)\)
• Projection matrices, generalized inverse matrices, and singular value decomposition.
• Spherical harmonics and approximations on the unit sphere. An introduction
• Hessian operators on constraint manifolds
• Manifolds, tensor analysis, and applications.
• First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds
• Orthogonal polynomials and diffusion operators
• Stein's method, heat kernel, and linear functions on the orthogonal groups
• Second order optimality on orthogonal Stiefel manifolds
• Schur-Weyl duality and the heat kernel measure on the unitary group
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• A Panoramic View of Riemannian Geometry
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Symmetric Diffusions with Polynomial Eigenvectors
• Matrix Algebra

This page was built for publication: Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates