Some system of differential equations on Riemannian manifolds and its applications to contact structures

DOI10.2748/TMJ/1178240701zbMath0344.53030OpenAlexW2056491958WikidataQ115227196 ScholiaQ115227196MaRDI QIDQ1232833

Shukichi Tanno

Publication date: 1977

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240701

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• The simple substitution property of Gödel's intermediate propositional logics \(S_ n\)'s
• Riemannian manifolds of constant nullity
• The automorphism groups of almost contact Riemannian manifolds
• On the completeness of nullity foliations
• On the isometry groups of Sasakian manifolds
• The K-nullity spaces of the curvature operator
• On almost contact 3-structure
• On a Riemannian space admitting more than one Sasakian structures
• Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibration
• A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Isometric imbedding of Riemann manifolds in a Riemann manifold
• Spaces of Constancy of Curvature Operators
• Totally geodesic foliations
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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