Results 11 to 20 of about 649 (108)

Geodesics in the space of relatively Kähler metrics

open access: yesJournal of the London Mathematical Society, Volume 108, Issue 3, Page 1036-1081, September 2023., 2023
Abstract We derive the geodesic equation for relatively Kähler metrics on fibrations and prove that any two such metrics with fibrewise constant scalar curvature are joined by a unique smooth geodesic. We then show convexity of the log‐norm functional for this setting along geodesics, which yields simple proofs of Dervan and Sektnan's uniqueness result
Michael Hallam
wiley   +1 more source

Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems

open access: yesCommunications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1554-1607, August 2023., 2023
Abstract For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each point of S corresponds to an asymptotically flat end and that the Schouten tensor of the ...
Yanyan Li, Luc Nguyen
wiley   +1 more source

Massively parallel computation of globally optimal shortest paths with curvature penalization

open access: yesConcurrency and Computation: Practice and Experience, Volume 35, Issue 2, 25 January 2023., 2023
Abstract We address the computation of paths globally minimizing an energy involving their curvature, with given endpoints and tangents at these endpoints, according to models known as the Reeds‐Shepp car (reversible and forward variants), the Euler‐Mumford elasticae, and the Dubins car. For that purpose, we numerically solve degenerate variants of the
Jean‐Marie Mirebeau   +4 more
wiley   +1 more source

On subvarieties of singular quotients of bounded domains

open access: yesJournal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel   +2 more
wiley   +1 more source

SARS‐CoV‐2 infection and venous thromboembolism after surgery: an international prospective cohort study

open access: yesAnaesthesia, Volume 77, Issue 1, Page 28-39, January 2022., 2022
Summary SARS‐CoV‐2 has been associated with an increased rate of venous thromboembolism in critically ill patients. Since surgical patients are already at higher risk of venous thromboembolism than general populations, this study aimed to determine if patients with peri‐operative or prior SARS‐CoV‐2 were at further increased risk of venous ...
COVIDSurg Collaborative   +16163 more
wiley   +1 more source

Lp‐Curvature Measures and Lp,q‐Mixed Volumes

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Motivated by Lutwak et al.’s Lp‐dual curvature measures, we introduce the concept of Lp‐curvature measures. This new Lp‐curvature measure is an extension of the classical surface area measure, Lp‐surface area measure, and curvature measure. In this paper, we first prove some properties of the Lp‐curvature measure.
Tongyi Ma, Raúl E. Curto
wiley   +1 more source

Newton Linearization of the Curvature Operator in Structured Grid Generation with Sample Solutions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
Elliptic grid generation equations based on the Laplacian operator have the well‐known property of clustering the mesh near convex boundaries and declustering it near concave boundaries. In prior work, a new differential operator was derived and presented to address this issue.
Pat Piperni   +2 more
wiley   +1 more source

Integrability Ex Machina

open access: yesFortschritte der Physik, Volume 69, Issue 7, July 2021., 2021
Abstract Determining whether a dynamical system is integrable is generally a difficult task which is currently done on a case by case basis requiring large human input. Here we propose and test an automated method to search for the existence of relevant structures, the Lax pair and Lax connection respectively.
Sven Krippendorf   +2 more
wiley   +1 more source

Three ways to solve partial differential equations with neural networks — A review

open access: yesGAMM-Mitteilungen, Volume 44, Issue 2, June 2021., 2021
Abstract Neural networks are increasingly used to construct numerical solution methods for partial differential equations. In this expository review, we introduce and contrast three important recent approaches attractive in their simplicity and their suitability for high‐dimensional problems: physics‐informed neural networks, methods based on the ...
Jan Blechschmidt, Oliver G. Ernst
wiley   +1 more source

Timing of surgery following SARS‐CoV‐2 infection: an international prospective cohort study

open access: yesAnaesthesia, Volume 76, Issue 6, Page 748-758, June 2021., 2021
Summary Peri‐operative SARS‐CoV‐2 infection increases postoperative mortality. The aim of this study was to determine the optimal duration of planned delay before surgery in patients who have had SARS‐CoV‐2 infection. This international, multicentre, prospective cohort study included patients undergoing elective or emergency surgery during October 2020.
COVIDSurg Collaborative   +16155 more
wiley   +1 more source
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