Nomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvature

DOI10.1007/S40574-021-00299-0zbMath1481.53074OpenAlexW3167638106WikidataQ114219080 ScholiaQ114219080MaRDI QIDQ2051036

Henrique Fernandes de Lima, Cicero Pedro Aquino

Publication date: 1 September 2021

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-021-00299-0

zbMATH Keywords

Gauss maphyperbolic spaceGauss-Kronecker curvaturetotally umbilical hypersurfacesDe Sitter space

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) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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