Einstein-type metrics on almost Kenmotsu manifolds

DOI10.1007/s40840-023-01534-xOpenAlexW4379619409MaRDI QIDQ6173901

Mohan Khatri, Jay Prakash Singh, Uday Chand De

Publication date: 13 July 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01534-x

zbMATH Keywords

hyperbolic spacewarped productKenmotsu manifoldstatic spaceEinstein-type metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15)

Cites Work

• Unnamed Item
• Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
• A note on static spaces and related problems
• Nonexistence of multiple black holes in static space-times and weakly harmonic curvature
• On conformally flat almost contact metric manifolds
• A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors
• On a differential equation characterizing a Riemannian structure of a manifold
• On the volume functional of compact manifolds with boundary with constant scalar curvature
• Almost Kenmotsu manifolds and nullity distributions
• Almost contact structures and curvature tensors
• Curvatures of left invariant metrics on Lie groups
• Conformally flat almost Kenmotsu 3-manifolds
• On almost Kenmotsu manifolds satisfying some nullity distributions
• On static three-manifolds with positive scalar curvature
• Contact metric manifolds satisfying a nullity condition
• On Einstein-type contact metric manifolds
• Static perfect fluid space-time on almost Kenmotsu manifolds
• Vanishing conditions on Weyl tensor for Einstein-type manifolds
• Almost contact metric manifolds whose Reeb vector field is a harmonic section
• On critical point equation of compact manifolds with zero radial Weyl curvature
• Static perfect fluid spacetime with half conformally flat spatial factor
• Three-dimensional almost Kenmotsu manifolds satisfying certain nullity conditions
• Reeb flow symmetry on almost contact three-manifolds
• On the geometry of gradient Einstein-type manifolds
• A class of almost contact Riemannian manifolds
• Einstein and conformally flat critical metrics of the volume functional
• On the spherical symmetry of static perfect fluid spacetimes and the positive-mass theorem
• Kenmotsu manifolds satisfying the Fischer-Marsden equation
• An Einstein-like metric on almost Кenmotsu manifolds
• Static perfect fluid space-time on compact manifolds
• Riemannian geometry of contact and symplectic manifolds