June 5, 2024Open Access

Minimal submanifolds and stability in Einstein manifolds

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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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Kalafat et al. (Wed,) studied this question.

synapsesocial.com/papers/68e660e5b6db6435875ef472 https://doi.org/https://doi.org/10.48550/arxiv.2406.03347

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