On Einstein-type contact metric manifolds
From MaRDI portal
Publication:1984396
DOI10.1016/j.geomphys.2021.104342zbMath1477.53081OpenAlexW3191009757MaRDI QIDQ1984396
Amalendu Ghosh, Dhriti Sundar Patra
Publication date: 16 September 2021
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104342
Weyl curvature tensorcontact metric manifold\(K\)-contact manifoldEinstein-type manifoldstatic vacuum equation
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
- A note on static spaces and related problems
- Generalized quasi-Einstein manifolds with harmonic Weyl tensor
- A note on critical point metrics of the total scalar curvature functional
- On the classification of gradient Ricci solitons
- Nonexistence of multiple black holes in static space-times and weakly harmonic curvature
- The Fischer-Marsden conjecture and contact geometry
- On the volume functional of compact manifolds with boundary with constant scalar curvature
- Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
- A differential equation arising from scalar curvature function
- On contact metric manifolds
- When is the tangent sphere bundle conformally flat?
- Some results on contact metric manifolds
- A full classification of contact metric \((k,\mu)\)-spaces
- Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature
- On static three-manifolds with positive scalar curvature
- Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary
- Contact metric manifolds satisfying a nullity condition
- Critical metrics of the volume functional on compact three-manifolds with smooth boundary
- On critical point equation of compact manifolds with zero radial Weyl curvature
- On static manifolds and related critical spaces with zero radial Weyl curvature
- The critical point equation and contact geometry
- Einstein manifolds
- The topology of contact Riemannian manifolds
- Some remarks on space with a certain contact structure
- Einstein manifolds and contact geometry
- Certain contact metrics satisfying the Miao–Tam critical condition
- Critical point equation on four-dimensional compact manifolds
- Einstein and conformally flat critical metrics of the volume functional
- Manifolds of Riemannian metrics with prescribed scalar curvature
- Killing fields generated by multiple solutions to the Fischer–Marsden equation
- Rigidity for critical metrics of the volume functional
- Complete Riemannian Manifolds and Some Vector Fields
- Locally symmetric $K$-contact Riemannian manifolds
- Riemannian geometry of contact and symplectic manifolds
This page was built for publication: On Einstein-type contact metric manifolds