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arXiv · 2406.03347

Minimal submanifolds and stability in Einstein manifolds

Mustafa Kalafat·Özgür Kelekçi·Mert Taşdemir
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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.

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Mustafa Kalafat, Özgür Kelekçi, Mert Taşdemir. 2024-08-23. Minimal submanifolds and stability in Einstein manifolds. https://arxiv.org/abs/2406.03347

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