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Explicit Harmonic Self-maps of Complex Projective Spaces by Balado-Alves, José Miguel is a scholarly article available to read on EtoBox.

What is Explicit Harmonic Self-maps of Complex Projective Spaces about?

We study $ { \mathrm{ SU } ( p + 1 ) \times \mathrm{ SU } ( n - p ) } $-equivariant maps between complex projective spaces. For every $ { n, p \in \mathbb{ N } } $ with $ { 0 \leq p < n } $, we construct two explicit families of uncountable many harmonic self-maps of $ \mathbb{ CP }^n $, one given by holomorphic maps and the other by maps that are neither holomorphic nor antiholomorphic. We prove that each solution is equivariantly weakly stable and explicitly compute the equivariant spectrum for some specific maps in both families.

Author

Balado-Alves, José Miguel

Published

2023

Language

EN