Contactly geodesic transformations of almost-contact metric structures

DOI10.1007/s11006-006-0129-0zbMath1121.53023OpenAlexW2020006720MaRDI QIDQ881083

N. N. Dondukova, V. F. Kirichenko

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0129-0

zbMATH Keywords

Sasakian manifoldpseudo-Riemannian manifoldKenmotsu manifoldcosymplectic manifoldRiemann-Christoffel tensoralmost-contact structuregeodesic transformation

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Projective connections (53B10)

Related Items (6)

On Weyl tensor of ACR-manifolds of class $C_{12}$ with applications ⋮ ИНВАРИАНТЫ ОБОБЩЕННЫХ f-ПРЕОБРАЗОВАНИЙ ПОЧТИ КОНТАКТНЫХ МЕТРИЧЕСКИХ СТРУКТУР ⋮ Geodesic rigidity of certain classes of almost contact metric manifolds ⋮ Integrability Properties of Generalized Kenmotsu Manifolds ⋮ CONFORMAL AND PARACONTACTLY GEODESIC TRANSFORMATIONS OF ALMOST PARACONTACT METRIC STRUCTURES ⋮ A Study of New Class of Almost Contact Metric Manifolds of Kenmotsu Type

Cites Work

• Methods of generalized Hermitian geometry in the theory of almost-contact manifolds
• Contact manifolds in Riemannian geometry
• Generalized quasi-Kaehlerian manifolds and axioms of CR-submanifolds in generalized Hermitian geometry. II
• A class of almost contact Riemannian manifolds
• Hermitian Spaces in Geodesic Correspondence
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