An intrinsic approach to Lichnerowicz conjecture

DOI10.1007/BF02829478zbMath0952.53022arXivdg-ga/9607003WikidataQ122898678 ScholiaQ122898678MaRDI QIDQ1971653

Akhil Ranjan

Publication date: 1 January 2001

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9607003

zbMATH Keywords

mean curvaturesymmetric spaceLaplacianharmonic manifoldisometric minimal immersionhelical immersionBesse's nice embeddingLichnerowicz's conjecturelocally symmetric space of rank one polynomialP-manifoldradial eigenfunction

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (1)

Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz--Szabo theorem

Cites Work

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• Eigenvalue inequalities for minimal submanifols and P-manifolds
• Helical immersions into a unit sphere
• The Lichnerowicz conjecture on harmonic manifolds
• A generalization of Obata's theorem
• The first eigenvalue of \(P\)-manifolds
• Correction to ``The first eigenvalue of \(P\)-manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• A class of nonsymmetric harmonic Riemannian spaces
• Sur les espaces riemanniens complètement harmoniques

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