Results 51 to 60 of about 406,237 (253)
International Journal of Mathematics and Mathematical Sciences, 2010 We extend the classical Bishop-Gromov volume comparison from constant Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and apply it to investigate the volume growth, total Betti number, and finite topological type of ...
Zisheng Hu, Yadong Jin, Senlin Xu
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Tohoku Mathematical Journal, 2011 We modify the definition of Ricci curvature of Ollivier of Markov chains on graphs to study the properties of the Ricci curvature of general graphs, Cartesian product of graphs, random graphs, and some special class of graphs.
Lin, Yong, Lu, Linyuan, Yau, Shing-Tung
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On generalized complex space forms satisfying certain curvature conditions
Karpatsʹkì Matematičnì Publìkacìï, 2016 We study Ricci soliton $(g,V,\lambda)$ of generalized complex space forms when the Riemannian, Bochner and $W_{2}$ curvature tensors satisfy certain curvature conditions like semi-symmetric, Einstein semi-symmetric, Ricci pseudo symmetric and Ricci ...
M.M. Praveena, C.S. Bagewadi
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Characterizing complex networks with Forman-Ricci curvature and associated geometric flows [PDF]
J. Complex Networks, 2016 We introduce Forman-Ricci curvature and its corresponding flow as characteristics for complex networks attempting to extend the common approach of node-based network analysis by edge-based characteristics.
Melanie Weber, Emil Saucan, J. Jost
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Ricci curvature of the Internet topology [PDF]
2015 IEEE Conference on Computer Communications (INFOCOM), 2015 Analysis of Internet topologies has shown that the Internet topology has negative curvature, measured by Gromov's "thin triangle condition", which is tightly related to core congestion and route reliability. In this work we analyze the discrete Ricci curvature of the Internet, defined by Ollivier, Lin, etc.
Yu-Yao Lin +4 more
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Estimates on the non-compact expanding gradient Ricci solitons
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we deal with the complete non-compact expanding gradient Ricci soliton (Mn,g) with positive Ricci curvature. On the condition that the Ricci curvature is positive and the scalar curvature approaches 0 towards infinity, we derive a useful ...
Gao Xiang, Xing Qiaofang, Cao Rongrong
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Ricci Curvature, Isoperimetry and a Non-additive Entropy
Entropy, 2015 Searching for the dynamical foundations of Havrda-Charvát/Daróczy/ Cressie-Read/Tsallis non-additive entropy, we come across a covariant quantity called, alternatively, a generalized Ricci curvature, an N-Ricci curvature or a Bakry-Émery-Ricci curvature ...
Nikos Kalogeropoulos
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International Journal of Mathematics and Mathematical Sciences, 2005 We establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold ...
Dae Won Yoon
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Forman-Ricci Curvature for Hypergraphs [PDF]
Advances in Complex Systems, 2018 In contrast to graph-based models for complex networks, hypergraphs are more general structures going beyond binary relations of graphs. For graphs, statistics gauging different aspects of their structures have been devised and there is undergoing ...
Wilmer Leal +3 more
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Curvature cones and the Ricci flow. [PDF]
Séminaire de théorie spectrale et géométrie, 2014 Survey paper, comments are ...
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