Some curvature properties of paracontact metric manifolds

DOI10.1515/APAM-2017-0064zbMath1395.53030OpenAlexW2765491924MaRDI QIDQ721003

Krishanu Mandal, Uday Chand De

Publication date: 18 July 2018

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2017-0064

zbMATH Keywords

Einstein manifoldparacontact metric manifoldsRicci semisymmetricsecond-order parallel tensor

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) Almost contact and almost symplectic manifolds (53D15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous paracontact metric three-manifolds
• Sasaki-Einstein and paraSasaki-Einstein metrics from \((\kappa, \mu)\)-structures
• Bi-paracontact structures and Legendre foliations
• Canonical connections on paracontact manifolds
• Geometric structures associated to a contact metric \((\kappa ,\mu )\)-space
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Nullity conditions in paracontact geometry
• Certain results on generalized \((k,\mu)\)-contact metric manifolds
• Second order parallel tensors on almost Kenmotsu manifolds satisfying the nullity distributions
• Almost paracontact and parahodge structures on manifolds
• Local classification and examples of an important class of paracontact metric manifolds

This page was built for publication: Some curvature properties of paracontact metric manifolds