Results 31 to 40 of about 3,312 (222)
Collapsing immortal Kähler-Ricci flows
Forum of Mathematics, PiWe consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology ...
Hans-Joachim Hein +2 more
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SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES
Forum of Mathematics, Sigma, 2017 We establish the compactness of the moduli space of noncollapsed Calabi–Yau spaces with mild singularities. Based on this compactness result, we develop a new approach to study the weak compactness of Riemannian manifolds.
XIUXIONG CHEN, BING WANG
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Ricci flow on Kähler manifolds [PDF]
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001 In this paper, we announce the following results: Let M be a Kaehler-Einstein manifold with positive scalar curvature. If the initial metric has nonnegative bisectional curvature and positive at least at one point, then the K hler-Ricci flow converges exponentially fast to a Kaehler-Einstein metric with constant bisectional curvature.
Chen, Xiuxiong, Tian, Gang
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Modified Naiver-Stokes equation for conceptual tests of pure field physics
EPJ Web of Conferences, 2018 Cartesian relativistic physics has its own nondual analog of the 1915 Einstein Equation for pure field physics in nonempty space. This tensor field analog leads to the vector geodesic equations for relativistic accelerations of Ricci material densities ...
Bulyzhenkov Igor E.
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Advanced Science, EarlyView.This work shows, for the first time, that the stereocilia membrane in cochlear hair cells is dynamically regulated by the mechanotransduction channel to impact the membrane mechanical properties. This work provides direct evidence that the opening and closing associated with the MET channel is regulating the membrane viscosity suggesting that the MET ...
Shefin S. George, Anthony J. Ricci
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Entropy of Reissner–Nordström 3D Black Hole in Roegenian Economics
Entropy, 2019 The subject of this paper is to analyse the Mathematical Principia of Economic 3D Black Holes in Roegenian economics. In detail, we study two main problems: (i) mathematical origin of economic 3D black holes; and (ii) entropy and internal political ...
Constantin Udriste +4 more
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A modified Kähler–Ricci flow [PDF]
Mathematische Annalen, 2009 In this note, a modified K hler-Ricci flow is introduced and studied. The main point is to show the flexibility of K hler-Ricci flow and summarize some useful techniques.
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$${\epsilon}$$ ϵ -regularity for shrinking Ricci solitons and Ricci flows [PDF]
Geometric and Functional Analysis, 2017 Comment: 22 ...
Ge, Huabin, Jiang, Wenshuai
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Parabolic Frequency on Ricci Flows
International Mathematics Research Notices, 2022 AbstractThis paper defines a parabolic frequency for solutions of the heat equation on a Ricci flow and proves its monotonicity along the flow. Frequency monotonicity is known to have many useful consequences; here it is shown to provide a simple proof of backwards uniqueness.
Baldauf, Julius, Kim, Dain
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Schizophrenia Genetics Modulates Clinical Depressive Features
American Journal of Medical Genetics Part B: Neuropsychiatric Genetics, EarlyView.ABSTRACT Schizophrenia (SCZ) genetic liability, quantified by polygenic scores (PGS), may influence clinical phenotypes in major depressive disorder (MDD). We investigated the effect of the SCZ‐PGS derived from the latest SCZ genome‐wide association study (GWAS) on MDD symptom severity, comorbidities, and treatment outcomes.
Alessandro Serretti +13 more
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