Results 111 to 120 of about 10,692 (245)

Coulomb branch algebras via symplectic cohomology

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González   +2 more
wiley   +1 more source

Integrating Hamiltonian systems defined on the Lie groups SO(4) and SO(1,3)

open access: yes, 2007
This paper examines optimal solutions of control systems with drift defined on the orthonormal frame bundle of particular Riemannian manifolds of constant curvature. The manifolds considered here are the space forms Euclidean space E³, the spheres S³ and
Biggs, James   +4 more
core  

Holonomy and submanifold geometry [PDF]

open access: yes, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S   +4 more
core  

An extended definition of Anosov representation for relatively hyperbolic groups

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Kahler manifolds and their relatives

open access: yes, 2010
Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
core  

Combinatorial zeta functions counting triangles

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard   +3 more
wiley   +1 more source

“Riemannian” Differential Geometry in Abstract Spaces [PDF]

open access: yesProceedings of the National Academy of Sciences, 1935
1. Introduction. - In this note brief indications are given of a set of postulates for "Riemannian" differential geometry in abstract spaces. The detailed treatment of this geometry has been included in a comprehensive memoir that I intend to publish elsewhere.
openaire   +2 more sources

The Generalized Classical Time-Space

open access: yes, 2019
The newest model for space-time is based on sub-Riemannian geometry. In this paper, we use a combination of Lorentzian and sub-Riemannian geometry, the suggest a new model which likes to its ancestors, but with the most efficient in application.
Mehdi Nadjafikhah (6812084)   +1 more
core   +1 more source

Geometrical aspects of spinor and twistor analysis [PDF]

open access: yes
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
core  

Spectral Geometry for Structural Pattern Recognition [PDF]

open access: yes, 2010
Graphs are used pervasively in computer science as representations of data with a network or relational structure, where the graph structure provides a flexible representation such that there is no fixed dimensionality for objects. However, the analysis
El Ghawalby, Heyayda   +1 more
core  

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