Minimal submanifolds and stability in Einstein manifolds
Differential Geometry
2024-08-27 v2 Mathematical Physics
Geometric Topology
math.MP
Abstract
In this paper, we compute the index and nullity for minimal submanifolds of some complex Einstein spaces. We investigate the stability of these minimal submanifolds and suggest a criterion for instability for some cases. We also compute some higher eigenvalues for the Laplacian of the Berger spheres and provide with an algorithm.
Cite
@article{arxiv.2406.03347,
title = {Minimal submanifolds and stability in Einstein manifolds},
author = {Mustafa Kalafat and Özgür Kelekçi and Mert Taşdemir},
journal= {arXiv preprint arXiv:2406.03347},
year = {2024}
}
Comments
17 pages, 3 figures