n-harmonicity, minimality, conformality and cohomology

10.5556/j.tkjm.55.2024.5118

Bang-Yen Chen；Shihshu Walter Wei

p-harmonic maps ； n-harmonic morphism ； cohomology class ； minimal submanifold ； submersion

Tamkang Journal of Mathematics

55卷3期（2024 / 09 / 01）

241 - 250

英文

By studying cohomology classes that are related with n-harmonic morphisms and F -harmonic maps, we augment and extend several results on F - harmonic maps, harmonic maps in [1, 3, 15], p-harmonic morphisms in [23], and also revisit our previous results in [10, 11, 29] on Riemannian submersions and n-harmonic morphisms which are submersions. The results, for example Theorem 3.2 obtained by utilizing the n-conservation law (2.6), are sharp.