Normal complex contact metric manifolds admitting a semi symmetric metric connection

DOI10.2478/amns.2020.2.00013OpenAlexW3041348270MaRDI QIDQ2690751

Dilek Özdemir, Aysel Turgut Vanlı, İnan Ünal

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00013

zbMATH Keywords

curvature tensorscomplex Heisenberg groupnormal complex contact metric manifoldsemi symmetric metric connection

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

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Cites Work

• Symmetry in complex contact geometry
• Bochner and conformal flatness on normal complex contact metric manifolds
• Real contact 3-structure and complex contact structure
• Complex almost contact manifolds
• Complex contact manifolds and hyperkähler geometry
• The Boothby-Wang fibration of the Iwasawa manifold as a critical point of the energy
• Corrected energy of distributions for 3-Sasakian and normal complex contact manifolds
• Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds
• Remarks on Complex Contact Manifolds
• Riemannian geometry of contact and symplectic manifolds
• Normality of complex contact manifolds
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