Spectral Invariants of Laplacians on Quaternionic Projective Spaces Pn(H) (n  1)

  • Richard Olu Awonusika Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria.
DOI: https://doi.org/10.6084/m9.figshare.13829129

Abstract

This paper presents explicit closed-form formulae for the determinants of the Laplacians on
n-dimensional quaternionic projective spaces Pn(H) (n 1). The explicit calculation of this
spectral invariant associated with Pn(H) is novel in the context of spectral theory of the Laplacian
on Riemannian manifolds. Other spectral properties of the Laplacian on Pn(H) – the
Minakshisundaram-Pleijel coefficients and Minakshisundaram-Pleijel zeta functions are also
explicitly discussed.

Published
2021-02-05
How to Cite
Awonusika, R. O. (2021). Spectral Invariants of Laplacians on Quaternionic Projective Spaces Pn(H) (n  1). International Journal of Mathematical Sciences and Optimization: Theory and Applications, 6(2), 886 - 901. https://doi.org/10.6084/m9.figshare.13829129
Issue
Vol 6 No 2 (2020)
Section
Articles

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