Analytic torsion of space forms of certain compact symmetric spaces

DOI10.1017/S0027763000022558zbMath0368.58012MaRDI QIDQ4144479

Hajime Urakawa

Publication date: 1977

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Heat equation (35K05) Differential geometry of symmetric spaces (53C35) Partial differential equations on manifolds; differential operators (58J99) Numerical methods for trigonometric approximation and interpolation (65T40)

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Cites Work

• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Reidemeister torsion and the Laplacian on lens spaces
• R-torsion and the Laplacian on Riemannian manifolds
• On the heat equation and the index theorem
• Analytic torsion for complex manifolds
• On the automorphisms of a real semi-simple Lie algebra
• Fourier Transforms on a Semisimple Lie Algebra I