Results 1 to 10 of about 103 (54)
Thurston’s fragmentation and c-principles
Forum of Mathematics, Sigma, 2023 In this paper, we generalize the original idea of Thurston for the so-called Mather-Thurston’s theorem for foliated bundles to prove new variants of this theorem for PL homeomorphisms and contactormorphisms.
Sam Nariman
doaj +1 more source
Advanced Nonlinear Studies, 2022 In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa +2 more
doaj +1 more source
Legendrian and transverse cables of positive torus knots [PDF]
, 2011 We classify Legendrian and transverse knots in the knot types obtained from positive torus knots by cabling. This classification allows us to demonstrate several new phenomena.
John B. Etnyre +2 more
semanticscholar +1 more source
Understanding Neurotransmitter Identity and Plasticity in the Circadian Clock Network of Drosophila. [PDF]
, 2021 The clock network in Drosophila is one of the best characterized behavioral circuits and is responsible for circadian control of various bodily functions including sleep, activity, feeding and more.
Tuppil, Koushik
core +1 more source
Rigidity properties of holomorphic Legendrian singularities [PDF]
Épijournal de Géométrie Algébrique, 2019 We study the singularities of Legendrian subvarieties of contact manifolds in the complex-analytic category and prove two rigidity results. The first one is that Legendrian singularities with reduced tangent cones are contactomorphically biholomorphic to
Jun-Muk Hwang
doaj +1 more source
Poisson-Jacobi reduction of homogeneous tensors [PDF]
, 2003 The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence between multivector fields on a manifold M , homogeneous with respect to a vector field ∆ on M , and first-order polydifferential operators on a closed ...
J.Grabowski +4 more
semanticscholar +1 more source
Contact manifolds, Lagrangian Grassmannians and PDEs
Complex Manifolds, 2018 In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called ...
Eshkobilov Olimjon +3 more
doaj +1 more source
A CONTACT INVARIANT IN SUTURED MONOPOLE HOMOLOGY
Forum of Mathematics, Sigma, 2016 We define an invariant of contact 3-manifolds with convex boundary using Kronheimer and Mrowka’s sutured monopole Floer homology theory ( $SHM$ ).
JOHN A. BALDWIN, STEVEN SIVEK
doaj +1 more source
Locally decomposable golden Riemannian tangent bundles with Cheeger-Gromoll metric
, 2016 In this paper we obtain a condition for the tangent bundle .TM; Q J ; Q g/ to be locally decomposable Golden Riemannian tangent bundle, where Q J is the Golden structure on TM and Q g is the Cheeger-Gromoll metric. 2010 Mathematics Subject Classification:
A. Kazan, H. Karadag
semanticscholar +1 more source
On N(k)-contact metric manifolds satisfying certain conditions
SUT Journal of Mathematics, 2008 We classify N(k)-contact metric manifolds satisfying the conditions Z(»;X) ¢ C0 = 0, C0(»;X) ¢ Z = 0 and Ce(»;X) ¢ Z = 0, where Z;C0 and Ce denote the concircular curvature tensor, the contact conformal curvature tensor and the extended contact conformal
Cihan Özgür, Sibel Sular
semanticscholar +1 more source