Results 21 to 30 of about 872 (123)
Removing scalar curvature assumption for Ricci flow smoothing
Bulletin of the London Mathematical Society, EarlyView.Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley +1 more source
Qualitative properties of the heat content
Bulletin of the London Mathematical Society, EarlyView.Abstract We obtain monotonicity and convexity results for the heat content of domains in Riemannian manifolds and in Euclidean space subject to various initial temperature conditions. We introduce the notion of a strictly decreasing temperature set, and show that it is a sufficient condition to ensure monotone heat content.
Michiel van den Berg, Katie Gittins
wiley +1 more source
Volume form and its applications in Finsler geometry
, 2011 We establish some volume comparison theorems for general volume forms, and they reduce to the same formulas as Riemannian case for extreme volume form (the maximal or minimal volume form) up to a cofactor. By using the extreme volume form, we are able to
B. Wu
semanticscholar +1 more source
Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang +3 more
wiley +1 more source
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, Volume 78, Issue 8, Page 1359-1410, August 2025.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
Submanifold Geometry in Symmetric Spaces
, 1995 The classical local invariants of a submanifold in a space form are the first fundamental form, the shape operators and the induced normal connection, and they determine the submanifold up to ambient isometry.
C. Terng, G. Thorbergsson
semanticscholar +1 more source
On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups
Mathematische Nachrichten, Volume 298, Issue 6, Page 1922-1942, June 2025.Abstract This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality.
Giovanni Calvaruso +2 more
wiley +1 more source
The Geometry of the First Non-zero Stekloff Eigenvalue
, 1997 Let (Mn, g) be a compact Riemannian manifold with boundary and dimensionn⩾2. In this paper we discuss the first non-zero eigenvalue problem \begin{align}\Delta\varphi & = & 0\qquad & on\quad M,\\ \frac{\partial\varphi}{\partial \eta} & = & \ u_1\varphi ...
José F. Escobar
semanticscholar +1 more source
On the Zoll deformations of the Kepler problem
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1749-1767, June 2025.Abstract A celebrated result of Bertrand states that the only central force potentials on the plane with the property that all bounded orbits are periodic are the Kepler potential and the potential of the harmonic oscillator. In this paper, we complement Bertrand's theorem showing the existence of an infinite‐dimensional space of central force ...
Luca Asselle, Stefano Baranzini
wiley +1 more source
Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley +1 more source