Results 41 to 50 of about 228,756 (169)
Projection methods for some constrained systems [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2003 This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribution of constant rank and also endowed with some geometric structures ...
Paulo Pitanga, Paulo R. Rodrigues
doaj
A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley +1 more source
On the Hilbert Geometry of Convex Polytopes [PDF]
In Handbook of Hilbert Geometry, IRMA Lectures in Mathematics and
Theoretical Physics Vol. 22, pp. 111-125, 2014, 2014 We survey the Hilbert geometry of convex polytopes. In particular we present two important characterisations of these geometries, the first one in terms of the volume growth of their metric balls, the second one as a bi-lipschitz class of the simplexe's geometry.
arxiv +1 more source
Radio Science, Volume 60, Issue 3, March 2025.Abstract The generalized force method, previously developed for an isotropic inhomogeneous ionosphere, exploits the knowledge about the character of the extrema of the phase distance—where high ionospheric rays correspond to minima and low rays to saddle points—to systematically find all relevant rays between fixed points, thereby enabling efficient ...
I. A. Nosikov +4 more
wiley +1 more source
Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
doaj +1 more source
Mabuchi Kähler solitons versus extremal Kähler metrics and beyond
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 692-710, March 2025.Abstract Using the Yau–Tian–Donaldson type correspondence for v$v$‐solitons established by Han–Li, we show that a smooth complex n$n$‐dimensional Fano variety admits a Mabuchi soliton provided it admits an extremal Kähler metric whose scalar curvature is strictly less than 2(n+1)$2(n+1)$.
Vestislav Apostolov +2 more
wiley +1 more source
Hyperkähler geometry of rational curves in twistor spaces [PDF]
arXiv, 2021 We investigate the pseudo-hyperk\"ahler geometry of higher degree rational curves in the twistor space of a hyperk\"ahler $4$-manifold.
arxiv
A connection theoretic approach to sub-Riemannian geometry
, 2002 We use the notion of generalized connection over a bundle map in order to present an alternative approach to sub-Riemannian geometry. Known concepts, such as normal and abnormal extremals, will be studied in terms of this new formalism.
Langerock, B.
core +1 more source
Biflat F‐structures as differential bicomplexes and Gauss–Manin connections
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 786-808, March 2025.Abstract We show that a biflat F‐structure (∇,∘,e,∇∗,∗,E)$(\nabla,\circ,e,\nabla ^*,*,E)$ on a manifold M$M$ defines a differential bicomplex (d∇,dE∘∇∗)$(d_{\nabla },d_{E\circ \nabla ^*})$ on forms with value on the tangent sheaf of the manifold. Moreover, the sequence of vector fields defined recursively by d∇X(α+1)=dE∘∇∗X(α)$d_{\nabla }X_{(\alpha +1)}
Alessandro Arsie, Paolo Lorenzoni
wiley +1 more source
Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry [PDF]
, 2012 We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.
arxiv +1 more source