Search Results - "Streets, Jeffrey"
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Generalized Kähler–Ricci flow and the classification of nondegenerate generalized Kähler surfaces
Published in Advances in mathematics (New York. 1965) (20-08-2017)“…We study the generalized Kähler–Ricci flow on complex surfaces with nondegenerate Poisson structure, proving long time existence and convergence of the flow to…”
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The consistency and convergence of K-energy minimizing movements
Published in Transactions of the American Mathematical Society (01-07-2016)“…-energy functional on the metric completion of the space of K]]>ä…”
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Pluriclosed flow on manifolds with globally generated bundles
Published in Complex manifolds (Warsaw, Poland) (13-09-2016)“…We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally…”
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Deformation classes in generalized Kähler geometry
Published in Complex manifolds (Warsaw, Poland) (31-10-2020)“…We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of…”
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Asymptotic curvature decay and removal of singularities of Bach-flat metrics
Published in Transactions of the American Mathematical Society (01-03-2010)“…We prove a removal of singularities result for Bach-flat metrics in dimension 4 under the assumption of bounded L^2-norm of curvature, bounded Sobolev constant…”
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Entropy, stability and harmonic map flow
Published in Transactions of the American Mathematical Society (01-08-2017)“…Inspired by work of Colding-Minicozzi (2012) on mean curvature flow, Zhang (2012) introduced a notion of entropy stability for harmonic map flow. We build…”
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Classification of solitons for pluriclosed flow on complex surfaces
Published in Mathematische annalen (01-12-2019)“…We give a classification of compact solitons for the pluriclosed flow on complex surfaces. First, by exploiting results from the Kodaira classification of…”
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Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations
Published in Advances in mathematics (New York. 1965) (22-01-2022)“…We give a complete description of the global existence and convergence for the Ricci-Yang-Mills flow on Tk bundles over Riemann surfaces. These results…”
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Scalar Curvature, Entropy, and Generalized Ricci Flow
Published in International mathematics research notices (01-06-2023)“…Abstract We derive a family of weighted scalar curvature monotonicity formulas for generalized Ricci flow, involving an auxiliary dilaton field evolving by a…”
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Generalized geometry, T-duality, and renormalization group flow
Published in Journal of geometry and physics (01-04-2017)“…We interpret the physical B-field renormalization group flow in the language of Courant algebroids, clarifying the sense in which this flow is the natural…”
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Classification of Generalized Kähler‐Ricci Solitons on Complex Surfaces
Published in Communications on pure and applied mathematics (01-09-2021)“…Using toric geometry we give an explicit construction of the compact steady solitons for pluriclosed flow first constructed in by the first author in 2019…”
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Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
Published in Communications in partial differential equations (01-02-2016)“…We prove long time existence and convergence results for the pluriclosed flow, which imply geometric and topological classification theorems for generalized…”
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13
Generalized Kähler geometry and the pluriclosed flow
Published in Nuclear physics. B (11-05-2012)“…In Streets and Tian (2010) [1] the authors introduced a parabolic flow for pluriclosed metrics, referred to as pluriclosed flow. We also demonstrated in…”
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14
Bochner formulas, functional inequalities and generalized Ricci flow
Published in Journal of functional analysis (15-05-2023)“…As a consequence of the Bochner formula for the Bismut connection acting on gradients, we show sharp universal Poincaré and log-Sobolev inequalities along…”
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15
Long time existence of minimizing movement solutions of Calabi flow
Published in Advances in mathematics (New York. 1965) (10-07-2014)“…We recast the Calabi flow in DeGiorgi's language of minimizing movements. We establish the long time existence of minimizing movements for K-energy with…”
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GLOBAL VISCOSITY SOLUTIONS OF GENERALIZED KÄHLER-RICCI FLOW
Published in Proceedings of the American Mathematical Society (01-02-2018)“…We apply ideas from viscosity theory to establish the existence of a unique global weak solution to the generalized Kähler-Ricci flow in the setting of…”
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Published in Proceedings of the American Mathematical Society (01-02-2018)“…We apply ideas from viscosity theory to establish the existence of a unique global weak solution to the generalized Kähler-Ricci flow in the setting of…”
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A Concentration‐Collapse Decomposition for L 2 Flow Singularities
Published in Communications on pure and applied mathematics (01-02-2016)“…We exhibit a concentration‐collapse decomposition of singularities of fourth‐order curvature flows, including the L 2 curvature flow and Calabi flow, in…”
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Structure of Collapsing Solutions of Generalized Ricci Flow
Published in The Journal of geometric analysis (01-04-2021)“…We derive modified Perelman-type monotonicity formulas for solutions to the generalized Ricci flow equation with symmetry on principal bundles, which lead to…”
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20
A Concentration-Collapse Decomposition for L2 Flow Singularities
Published in Communications on pure and applied mathematics (01-02-2016)“…We exhibit a concentration‐collapse decomposition of singularities of fourth‐order curvature flows, including the L2 curvature flow and Calabi flow, in…”
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