Minimal hypersurfaces with low index in the real projective space

DOI10.1016/j.na.2021.112776zbMath1493.53012OpenAlexW4206460731MaRDI QIDQ2078592

Matheus B. Martins, Márcio Batista

Publication date: 1 March 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112776

zbMATH Keywords

gapMorse indexminimal hypersurfacesmin-max

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Index theory and related fixed-point theorems on manifolds (58J20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Morse index bounds for minimal submanifolds

Cites Work

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• Low index minimal hypersurfaces of spheres
• Compact minimal hypersurfaces with index one in the real projective space
• Minimal varieties in Riemannian manifolds
• Minimal Surfaces with Low Index in the Three-Dimensional Sphere
• Variational Methods
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• A characterization of the Clifford torus