منابع مشابه
Ricci Tensor of Diagonal Metric
Efficient formulae of Ricci tensor for an arbitrary diagonal metric are presented.
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We obtain the expression of Ricci tensor for a $GCR$-lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $GCR$-lightlike submanifold of anindefinite complex space form. Moreover, we have proved that everyproper totally umbilical $GCR$-lightlike submanifold of anindefinite Kaehler manifold is a totally geodesic $GCR$-lightlikesubmanifold.
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in this paper, the matsumoto metric with special ricci tensor has been investigated. it is proved that, if is ofpositive (negative) sectional curvature and f is of -parallel ricci curvature with constant killing 1-form ,then (m,f) is a riemannian einstein space. in fact, we generalize the riemannian result established by akbar-zadeh.
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We apply the methods of persistent homology to a selection of two and three– dimensional geometries evolved by simplicial Ricci flow. To implement persistent homology, we construct a triangular mesh for a sample of points. The scalar curvature along the edges of the triangulation, computed as an average of scalar curvatures at the endpoints of the edges, serves as a filtration parameter at each...
متن کاملApplications of Persistent Homology to Simplicial Ricci Flow
Paul M. Alsing∗1, Howard A. Blair†2, Matthew Corne‡1, Gordon Jones§3, Warner A. Miller¶4, Konstantin Mischaikow‖5 and Vidit Nanda∗∗6 Air Force Research Laboratory, Information Directorate, Rome, NY 13441 Department of Electrical Engineering and Computer Science, Syracuse University, Syracuse, NY 13244 Department of Computer Science, University of Michigan, Ann Arbor, MI 48109 Department of Phys...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2011
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/28/15/155007