Symmetry in complex contact geometry

DOI10.1216/RMJ-2012-42-2-451zbMath1243.53123MaRDI QIDQ422037

David E. Blair, Adela-Gabriela Mihai

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187160

zbMATH Keywords

symmetrycomplex contact manifoldKaehler manifoldlocally symmetricnormal complex contact metric structurequaternionic manifold

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Other complex differential geometry (53C56)

Related Items (7)

On complex Sasakian manifolds ⋮ Normal complex contact metric manifolds admitting a semi symmetric metric connection ⋮ Unnamed Item ⋮ Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds ⋮ Homogeneity and local symmetry of complex (\(\kappa, \mu)\)-spaces ⋮ The Study of Ricci-Semi-Symmetry of Normal Complex Contact Manifold ⋮ Symmetry properties of complex contact space form

Cites Work

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• Symmetries and \(\phi\)-symmetric spaces
• Isometric, holomorphic and symplectic reflections
• Complex almost contact manifolds
• Complex almost contact structures in a complex contact manifold
• Sasakian \(\varphi\)-symmetric spaces
• Boothby-Wang fibrations on complex contact manifolds
• Locally symmetric contact metric manifolds
• The fundamental equations of a submersion
• Some remarks on space with a certain contact structure
• Riemannian geometry of contact and symplectic manifolds
• Normality of complex contact manifolds

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