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The Laplacian and the heat kernel acting on differential forms on spheres

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Publication:961449
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DOI10.2748/tmj/1264084500zbMath1219.58010OpenAlexW2049798232MaRDI QIDQ961449

Masayoshi Nagase

Publication date: 30 March 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1264084500


zbMATH Keywords

sphereheat kernelLaplacian


Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)




Cites Work

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  • The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces
  • The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces. II
  • The heat equation on compact Lie group
  • Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
  • Volumes of compact symmetric spaces
  • Twistor spaces and the general adiabatic expansions
  • Analytic torsion of space forms of certain compact symmetric spaces
  • Noyau de diffusion sur les espaces homogènes compacts
  • Lie groups beyond an introduction


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