Higher order derivatives of heat semigroups on spheres and Riemannian symmetric spaces

DOI10.1007/978-3-030-87432-2_7zbMath1499.58025OpenAlexW4211018758MaRDI QIDQ2107411

K. David Elworthy

Publication date: 1 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-87432-2_7

zbMATH Keywords

symmetric spacesheat semigroupstochastic flowsstochastic analysissemi-group dominationBakry-Emerydiffusion of symmetric tensors

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Invariance and symmetry properties for PDEs on manifolds (58J70) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

• Isometric stochastic flows on spheres
• Path integral formulae for heat kernels and their derivatives
• Homogenisation on homogeneous spaces
• Generalised Weitzenböck formulae for differential operators in Hörmander form
• Doubly damped stochastic parallel translations and Hessian formulas
• Virtual immersions and a characterization of symmetric spaces
• On the geometry of diffusion operators and stochastic flows
• Equivariant diffusions on Principal bundles
• The Geometry of Filtering
• Analysis and Geometry of Markov Diffusion Operators
• Sectional curvature and Weitzenbock formulae
• HOMOGENEOUS RIEMANNIAN STRUCTURES ON BERGER 3-SPHERES
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