Axioms of spheres in lightlike geometry of submanifolds

DOI10.1007/S12044-016-0300-9zbMath1353.53064OpenAlexW2527777473MaRDI QIDQ345692

Rachna Rani, Rakesh Kumar, Rakesh Kumar Nagaich

Publication date: 2 December 2016

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-016-0300-9

zbMATH Keywords

axioms of holomorphic \(2r\)-spheres and planesaxioms of transversal \(r\)-spheres and planesindefinite Kähler manifoldslight-like submanifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• The axiom of spheres in semi-Riemannian geometry with lightlike submanifolds
• Indefinite Kähler manifolds
• Totally umbilical lightlike submanifolds
• Some characterizations of complex space forms
• The axiom of spheres in Riemannian geometry
• On real representations of Kaehlerian manifolds
• The axiom of spheres in Kaehler geometry

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