Results 121 to 130 of about 4,659,666 (289)
Stability of solutions of certain extended Ricci flow systems [PDF]
arXiv, 2013 We consider four extended Ricci flow systems---that is, Ricci flow coupled with other geometric flows---and prove dynamical stability of certain classes of stationary solutions of these flows. The systems include Ricci flow coupled with harmonic map flow (studied abstractly and in the context of Ricci flow on warped products), Ricci flow coupled with ...
arxiv
Ricci flow and the holonomy group [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 Abstract. We prove that the reduced holonomy group of a complete smooth solution to the Ricci flow of uniformly bounded curvature cannot spontaneously contract within the lifetime of the solution. It follows then, from an earlier result of Hamilton, that the holonomy is exactly preserved by the equation. In particular, a solution to the
openaire +4 more sources
Molecular Ecology Resources, EarlyView.ABSTRACT The percomorph fish clade Gobioidei is a suborder that comprises over 2200 species distributed in nearly all aquatic habitats. To understand the genetics underlying their species diversification, we sequenced and annotated the genome of the loach goby, Rhyacichthys aspro, an early‐diverging group, and compared it with nine additional Gobioidei
Tzi‐Yuan Wang +10 more
wiley +1 more source
Charting cellular differentiation trajectories with Ricci flow
Nature CommunicationsComplex biological processes, such as cellular differentiation, require intricate rewiring of intra-cellular signalling networks. Previous characterisations revealed a raised network entropy underlies less differentiated and malignant cell states.
Anthony Baptista +2 more
doaj +1 more source
Evolution of Ricci scalar under Finsler Ricci flow [PDF]
arXiv, 2015 Recently, we have studied evolution of a family of Finsler metrics along Finsler Ricci flow and proved its convergence in short time. Here, evolution equation of the reduced $hh$-curvature and the Ricci scalar along the Finslerian Ricci flow is obtained and it is proved that the Ricci flow preserves positivity of reduced $hh$-curvature on finite time ...
arxiv
Regularising the Ricci Flow Embedding [PDF]
, 2010 This paper concerns the analysis of patterns that are specified in terms of non-Euclidean dissimilarity or proximity rather than ordinal values. In prior work we have reported a means of correcting or rectifying the similarities so that the non-Euclidean artifacts are minimized.
Xu W., Hancock E.R., Wilson R.C.
openaire +1 more source
Maximal time existence of unnormalized conical Kähler–Ricci flow
, 2018 We generalize the maximal time existence of Kähler–Ricci flow in [G. Tian and Z. Zhang, On the Kähler–Ricci flow on projective manifolds of general type, Chin. Ann. Math. Ser. B 27 (2006), no. 2, 179–192] and [J. Song and G.
Liangming Shen
semanticscholar +1 more source
The production of terra sigillata in Arezzo, Central Italy: an archaeometric investigation
Archaeometry, EarlyView.Abstract This work deals with the archaeometric investigation on 25 fragments of terra sigillata (red‐coated ceramic ware and moulds) found in the city of Arezzo, Tuscany (central Italy), and attributed to several important workshops from the first century BCE to the second century CE.
Maria Emanuela Mascaro +6 more
wiley +1 more source
Gauge fields in a string-cigar braneworld
Physics Letters B, 2015 In this work, we investigate the properties of the Abelian gauge vector field in the background of a string-cigar braneworld. Both the thin and thick brane limits are considered.
F.W.V. Costa +3 more
doaj +1 more source
Remarks on homogeneous solitons of the $\protect \mathrm{G}_{2}$-Laplacian flow
Comptes Rendus. Mathématique, 2020 We show the existence of expanding solitons of the $\mathrm{G}_2$-Laplacian flow on non-solvable Lie groups, and we give the first example of a steady soliton that is not an extremally Ricci pinched $\mathrm{G}_2$-structure.
Fino, Anna, Raffero, Alberto
doaj +1 more source