On the index of a free-boundary minimal surface in Riemannian Schwarzschild-AdS

DOI10.1007/s10455-023-09925-wOpenAlexW4387335010MaRDI QIDQ6058008

Justin Corvino, Elene Karangozishvili, Deniz Ozbay

Publication date: 26 October 2023

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-023-09925-w

zbMATH Keywords

Morse indexfree-boundary minimal hypersurfacesRiemannian Schwarzschild-AdS

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime
• On free boundary minimal hypersurfaces in the Riemannian Schwarzschild space
• Kottler spacetime in isotropic static coordinates
• The geodesic structure of the Schwarzschild anti-de Sitter black hole