A Bound of the Finslerian Ricci Scalar
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1180-2
Abstract: In the Riemannian as well as in the Finslerian geometry, certain conditions on the Ricci scalar or the Ricci tensor provide obstructions on the topology of the base manifold and so on the configuration of… read more here.
Keywords: finslerian ricci; ricci scalar; ricci; bound finslerian ... See more keywords
Real Hypersurfaces in the Complex Hyperbolic Quadric with Parallel Ricci Tensor
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DOI: 10.1007/s00025-019-0961-7
Abstract: We introduce the notion of parallel Ricci tensor for real hypersurfaces in the complex hyperbolic quadric $${Q^m}^* = SO^{o}_{m,2}/SO_mSO_2$$Qm∗=SOm,2o/SOmSO2. According to the $$\mathfrak {A}$$A-principal or the $$\mathfrak {A}$$A-isotropic unit normal vector field N, we give… read more here.
Keywords: ricci; hypersurfaces complex; real hypersurfaces; complex hyperbolic ... See more keywords
D-homothetically Deformed K-contact Ricci Almost Solitons
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DOI: 10.1007/s00025-020-01250-z
Abstract: If a K-contact manifold (M, g) and a D-homothetically deformed K-contact manifold $$(M,{\bar{g}})$$ are both Ricci almost solitons with the same associated vector field V, then we show (i) that (M, g) and ( $$M, {\bar{g}}$$ )… read more here.
Keywords: deformed contact; almost solitons; ricci almost; ricci ... See more keywords
Immortal homogeneous Ricci flows
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DOI: 10.1007/s00222-017-0771-z
Abstract: We show that for an immortal homogeneous Ricci flow solution any sequence of parabolic blow-downs subconverges to a homogeneous expanding Ricci soliton. This is established by constructing a new Lyapunov function based on curvature estimates… read more here.
Keywords: immortal homogeneous; ricci flows; ricci; homogeneous ricci ... See more keywords
Ricci solitons on Riemannian manifolds admitting certain vector field
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DOI: 10.1007/s11587-021-00622-z
Abstract: In this paper, we initiate the study of impact of the existence of a unit vector $$\nu $$ , called a concurrent-recurrent vector field, on the geometry of a Riemannian manifold. Some examples of these… read more here.
Keywords: ricci; vector field; riemannian manifolds; concurrent recurrent ... See more keywords
New volume comparison results and applications to degeneration of Riemannian metrics
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DOI: 10.1016/j.aim.2019.06.030
Abstract: We consider a condition on the Ricci curvature involving vector fields, which is broader than the Bakry-\'Emery Ricci condition. Under this condition volume comparison, Laplacian comparison, isoperimetric inequality and gradient bounds are proven on the… read more here.
Keywords: ricci; condition; volume comparison; degeneration riemannian ... See more keywords
Singularity of connection Ricci flow for three-manifolds
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DOI: 10.1063/1.5001337
Abstract: We study the long-time behavior of the solution to the connection Ricci flow on closed three-manifolds. The connection Ricci flow is a generalization of the Ricci flow to connection with torsion. We compare the evolving… read more here.
Keywords: ricci flow; three manifolds; connection ricci; ricci ... See more keywords
Stability of non-degenerate Ricci-type Palatini theories
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DOI: 10.1088/1475-7516/2023/04/014
Abstract: We study the stability of theories where the gravitational action has arbitrary algebraic dependence on the three first traces of the Riemann tensor: the Ricci tensor, the co-Ricci tensor, and the homothetic curvature tensor. We… read more here.
Keywords: stability; ricci tensor; ricci; ricci type ... See more keywords
Minimum-length Ricci scalar for null separated events
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DOI: 10.1103/physrevd.102.124057
Abstract: We consider spacetime endowed with a zero point length, i.e. with an effective metric structure which allows for a (quantum-mechanically arising) finite distance $L_0$ between events in the limit of their coincidence. Restricting attention to… read more here.
Keywords: ricci scalar; separated events; ricci; null separated ... See more keywords
The Bakry-Émery Ricci Tensor: Application to Mass Distribution in Space-time
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DOI: 10.1134/s0202289321010096
Abstract: Abstract The Bakry-Émery Ricci tensor gives an analogue of the Ricci tensor for a Riemannian manifold with a smooth function. This notion motivates a new version of Einstein’s field equation in which the mass becomes… read more here.
Keywords: ricci; bakry mery; mery ricci; ricci tensor ... See more keywords
Homothetic Ricci collineations of non-static spherically symmetric spacetimes with perfect fluid matter
Sign Up to like & getrecommendations! Published in 2018 at "Modern Physics Letters A"
DOI: 10.1142/s0217732318501961
Abstract: Non-static spherically symmetric spacetimes with perfect fluid matter are considered and their homothetic Ricci collineations (HRCs) are investigated for degenerate as well as non-degenerate Ricci tensor. The present analysis shows that, for non-degenerate Ricci tensor,… read more here.
Keywords: spherically symmetric; ricci; non static; symmetric spacetimes ... See more keywords