Spectral geometry of totally complex submanifolds of QPn

Giovanni Calvaruso

doi:10.2996/kmj/1151936434

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Home > Journals > Kodai Math. J. > Volume 29 > Issue 2 > Article

June 2006 Spectral geometry of totally complex submanifolds of QPⁿ

Giovanni Calvaruso

Kodai Math. J. 29(2): 170-184 (June 2006). DOI: 10.2996/kmj/1151936434

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Abstract

We calculate some invariants determined by the spectrum of the Jacobi operator J of totally complex submanifolds of the quaternionic projective space QPⁿ. We use these invariants, and the ones determined by the spectrum of the Laplace-Beltrami operator Δ, to characterize parallel submanifolds of QPⁿ.

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Giovanni Calvaruso. "Spectral geometry of totally complex submanifolds of QPⁿ." Kodai Math. J. 29 (2) 170 - 184, June 2006. https://doi.org/10.2996/kmj/1151936434