Results 91 to 100 of about 70,602 (222)
Sub-Riemannian geometry of non-differentiable bundles [PDF]
, 2018 We show that the Chow`s Theorem and an analogue of the Ball-Box Theorem from smooth Sub-Riemannian geometry holds true for a class of non-differentiable tangent subbundles that satisfy a geometric condition. In the final section of the paper we also give
Türeli, S
core
Maximal symplectic torus actions
Bulletin of the London Mathematical Society, EarlyView.Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley +1 more source
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley +1 more source
Braided spaces with dilations and sub-riemannian symmetric spaces [PDF]
, 2011 Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras arxiv:0907.1520. Examples of such spaces are the sub-riemannian symmetric spaces.
Buliga, Marius
core
Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
wiley +1 more source
Sub-Riemannian geometry and swimming at low Reynolds number: the Copepod case
E S A I M: Control, Optimisation and Calculus of Variations, 2017 In Takagi [Phys. Rev. E 92 (2015) 023020], based on copepod observations, Takagi proposed a model to interpret the swimming behaviour of these microorganisms using sinusoidal paddling or sequential paddling followed by a recovery stroke in unison, and ...
P. Bettiol +3 more
semanticscholar +1 more source
On the Alexandrov Topology of sub-Lorentzian Manifolds
, 2013 It is commonly known that in Riemannian and sub-Riemannian Geometry, the metric tensor on a manifold defines a distance function. In Lorentzian Geometry, instead of a distance function it provides causal relations and the Lorentzian time-separation ...
A Korolko +18 more
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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Studies in Applied Mathematics, Volume 155, Issue 4, October 2025.ABSTRACT In nonisothermal setting, microstructural interactions may determine finite‐speed heat propagation. We consider such an effect in the dynamics of a viscous incompressible complex fluid (i.e., one with “active” microstructure) through a porous medium.
Luca Bisconti, Paolo Maria Mariano
wiley +1 more source