Results 31 to 40 of about 406,237 (253)
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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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
Ricci curvature and quantum geometry [PDF]
International Journal of Geometric Methods in Modern Physics, 2020 We describe a few elementary aspects of the circle of ideas associated with a quantum field theory (QFT) approach to Riemannian Geometry, a theme related to how Riemannian structures are generated out of the spectrum of (random or quantum) fluctuations around a background fiducial geometry.
Mauro Carfora, Francesca Familiari
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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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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
semanticscholar +1 more source
On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]
Известия Саратовского университета. Новая серия. 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
doaj +1 more source
∗-Ricci Tensor on α-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
doaj +1 more source
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 orientability [PDF]
Calculus of Variations and Partial Differential Equations, 2017 49 pages.
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