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Heat Kernel on Lie Groups and Maximally Symmetric Spaces

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 o...

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Bibliográfalaš dieđut
Váldodahkki: Avramidi, Ivan G. (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2023.
Preanttus:1st ed. 2023.
Ráidu:Frontiers in Mathematics,
Fáttát:
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential equations.
Mathematical physics.
Group theory.
Global Analysis and Analysis on Manifolds.
Differential Equations.
Mathematical Physics.
Group Theory and Generalizations.
Liŋkkat:https://doi.org/10.1007/978-3-031-27451-0
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Sisdoallologahallan:
  • Part I. Manifolds
  • Chapter. 1. Introduction
  • Chapter. 2. Geometry of Simple Groups
  • Chapter. 3. Geometry of SU(2)
  • Chapter. 4. Maximally Symmetric Spaces
  • Chapter. 5. Three-dimensional Maximally Symmetric Spaces
  • Part II: Heat Kernel
  • Chapter. 6. Scalar Heat Kernel
  • Chapter. 7. Spinor Heat Kernel
  • Chapter. 8. Heat Kernel in Two Dimensions
  • Chapter. 9. Heat Kernel on S3 and H3
  • Chapter. 10. Algebraic Method for the Heat Kernel
  • Appendix A
  • References
  • Index.

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