Results 11 to 20 of about 2,939,402 (89)
The Geometry and Topology on Grassmann Manifolds [PDF]
, 2006 This paper shows that the Grassmann Manifolds $G_{\bf F}(n,N)$ can all be imbedded in an Euclidean space $M_{\bf F}(N)$ naturally and the imbedding can be realized by the eigenfunctions of Laplacian $\triangle$ on $G_{\bf F}(n,N)$.
Zhou, Jianwei
core +3 more sources
Geometry and Topology of Escape I: Epistrophes [PDF]
, 2003 We consider a dynamical system given by an area-preserving map on a two-dimensional phase plane and consider a one-dimensional line of initial conditions within this plane.
Delos, J. B. +4 more
core +3 more sources
Journal of Mathematical Sciences, 2023 AbstractThe extremal structure of zero-neighbourhoods of a topological module is analyzed reaching unexpected conclusions when the module topology is not Hausdorff. These results motivate us to introduce the notion of metric modules, which are modules endowed with a translation-invariant metric, turning them into an (additive) topological group.
openaire +2 more sources
Geometry, Topology and Simplicial Synchronization
, 2022 32 pages, 10 ...
Millan, AP +3 more
openaire +5 more sources
Geometry and topology of CC and CQ states [PDF]
, 2014 We show that multipartite mixed bipartite CC and CQ states are geometrically and topologically distinguished in the space of states. They are characterized by non-vanishing Euler-Poincar\'{e} characteristics on the topological side and by the existence ...
Oszmaniec, Michał +2 more
core +1 more source
Geometry and Topology of String Junctions [PDF]
Journal of Singularities, 2016 We study elliptic fibrations by analyzing suitable deformations of the fibrations and vanishing cycles. We introduce geometric string junctions and describe some of their properties. We show how the structure of the geometric string junctions is naturally related to the Lie algebra structures of the associated singularities.
Grassi, Antonella +2 more
openaire +4 more sources
Interval topology in contact geometry [PDF]
Commun. Contemp. Math. 22 (2020), 1950042, 2018 A topology is introduced on spaces of Legendrian submanifolds and groups of contactomorphisms. The definition is motivated by the Alexandrov topology in Lorentz geometry.
arxiv +1 more source
Coarse Geometry and Topological Phases [PDF]
Communications in Mathematical Physics, 2019 We propose the Roe C*-algebra from coarse geometry as a model for topological phases of disordered materials. We explain the robustness of this C*-algebra and formulate the bulk-edge correspondence in this framework. We describe the map from the K-theory of the group C*-algebra of Z^d to the K-theory of the Roe C*-algebra, both for real and complex K ...
Eske Ellen Ewert, Ralf Meyer
openaire +4 more sources
Geometry and Topology of some overdetermined elliptic problems [PDF]
, 2013 We study necessary conditions on the geometry and the topology of domains in $\mathbb{R}^2$ that support a positive solution to a classical overdetermined elliptic problem. The ideas and tools we use come from constant mean curvature surface theory.
Aftalion +40 more
core +4 more sources
Varieties of Topological Geometries [PDF]
Transactions of the American Mathematical Society, 1993 A variety of topological geometries is either A. a projective variety L ( F ) \mathcal {L}(F) over some topological field F F , or B. a matchstick variety M ( X ) \mathcal {M}(X) over some topological space
openaire +2 more sources