Morse index bounds for minimal submanifolds-Reference-Cited by-同舟云学术

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Morse index bounds for minimal submanifolds

Published:2022-10-21 Issue: Volume: Page:
ISSN:0010-0757
Container-title:Collectanea Mathematica
language:en
Short-container-title:Collect. Math.

Author:

Adauto Diego,Batista Márcio

Funder

Conselho Nacional de Desenvolvimento Cientìfico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s13348-022-00380-7.pdf

Reference19 articles.

1. Adauto, D., Batista, M.: Index estimates for closed minimal submanifolds of the sphere. Proc. R. Soc. Edinb. Sect. A Math. (2022). https://doi.org/10.1017/prm.2021.86

2. Aiex, N.S., Hong, H.: Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds. Calc. Var. Partial Differ. Equ. 60(1), 20 (2021)

3. Ambrozio, L., Carlotto, A., Sharp, B.: Comparing the Morse index and the first Betti number of minimal hypersurfaces. J. Differ. Geom. 108(3), 379–410 (2018)

4. Batista, M., Martins, M.B.: Minimal hypersurfaces with low index in the real projective space. Nonlinear Anal. 218, 112776 (2022)

5. Cavalcante, M.P., Oliveira, D.: Lower bounds for the index of compact constant mean curvature surfaces in $${\mathbb{R}}^3$$ and $${\mathbb{S}}^3$$. Rev. Mat. Iberoam. 36(1), 195–206 (2020)

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