Heat Kernel on Lie Groups and Maximally Symmetric Spaces Paperback / softback
by Ivan G. Avramidi
Part of the Frontiers in Mathematics series
Paperback / softback
Description
This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions. This text will be a valuable resource for researchers and graduate students working in various areas of mathematics – such as global analysis, spectral geometry, stochastic processes, and financial mathematics – as well in areas of mathematical and theoretical physics – including quantum field theory, quantum gravity, string theory, and statistical physics.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:190 pages, XIX, 190 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:26/04/2023
- Category:
- ISBN:9783031274503
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:190 pages, XIX, 190 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:26/04/2023
- Category:
- ISBN:9783031274503