Results 31 to 40 of about 409,873 (273)
Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
Communications in Advanced Mathematical Sciences, 2023 In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
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American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView., 2023 Abstract Dynamin 1 is a GTPase protein involved in synaptic vesicle fission, which facilitates the exocytosis of neurotransmitters necessary for normal signaling. Pathogenic variants in the DNM1 gene are associated with intractable epilepsy, often manifested as infantile spasms at onset, developmental delay, and a movement disorder, and are located in ...
Davide Mei +4 more
wiley +1 more source
Ricci curvature, graphs and eigenvalues [PDF]
Linear Algebra and its Applications, 2021 25 ...
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Ricci flows with unbounded curvature [PDF]
Mathematische Zeitschrift, 2012 Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural for many applications, but is hard to drop because so many new phenomena can occur in the general case.
Gregor Giesen, Peter M. Topping
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Ollivier-Ricci curvature convergence in random geometric graphs [PDF]
Physical Review Research, 2020 Connections between continuous and discrete worlds tend to be elusive. One example is curvature. Even though there exist numerous nonequivalent definitions of graph curvature, none is rigorously known to converge in any limit to any traditional ...
P. Hoorn +4 more
semanticscholar +1 more source
Boundary effect of Ricci curvature [PDF]
Journal of Differential Geometry, 2016 On a compact Riemannian manifold with boundary, we study how Ricci curvature of the interior affects the geometry of the boundary. First we establish integral inequalities for functions defined solely on the boundary and apply them to obtain geometric inequalities involving the total mean curvature.
Miao, Pengzi, Wang, Xiaodong
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Curvature Inheritance Symmetry in Ricci Flat Spacetimes
Universe, 2022 In this article, we study curvature inheritance symmetry in Ricci flat spacetimes. We show that, if Ricci flat spacetimes are not of Petrov type N, and admit curvature inheritance symmetries, then the only existing symmetries are conformal motions.
Mohammad Salman +2 more
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Ricci curvature and volume growth [PDF]
Pacific Journal of Mathematics, 1991 The well known Bishop-Gromov inequality for the volume growth of balls in a Riemannian manifold \(M\) has an analogue for tubes around a compact totally geodesic submanifold \(L\subset M\), but instead of a lower Ricci curvature bound one has to assume a lower bound \(\kappa\) for the radial sectional curvatures of \(M\) with respect to \(L\).
Strake, M., Walschap, G.
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On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Natal’ya Pavlovna Mozhey
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Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds [PDF]
, 2020 In this short note we review some known results on the structure and regularity of spaces with lower Ricci curvature bounds. We present some known and new open questions about next steps.
A. Naber
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