On Scalar and Ricci Curvatures [PDF]
The purpose of this report is to acknowledge the influence of M. Gromov's vision of geometry on our own works. It is two-fold: in the first part we aim at describing some results, in dimension 3, around the question: which open 3-manifolds carry a complete Riemannian metric of positive or non negative scalar curvature?
Gérard Besson, Sylvestre Gallot
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FORMAN–RICCI CURVATURE FOR HYPERGRAPHS [PDF]
Hypergraphs serve as models of complex networks that capture more general structures than binary relations. For graphs, a wide array of statistics has been devised to gauge different aspects of their structures. Hypergraphs lack behind in this respect.
Wilmer Leal +3 more
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The curvature of gradient Ricci solitons [PDF]
We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.
Ovidiu Munteanu, Mu‐Tao Wang
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On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived an expression of Ricci curvature for the homogeneous generalized Matsumoto change.
Yanlin Li +3 more
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Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm +2 more
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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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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
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Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
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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On the Signature of the Ricci Curvature on Nilmanifolds [PDF]
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Arroyo, Romina M., Lafuente, Ramiro A.
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Boundary effect of Ricci curvature [PDF]
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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