Results 1 to 10 of about 1,124 (72)
On the Weinstein conjecture in higher dimensions [PDF]
Commentarii Mathematici Helvetici, Volume 84, Issue 2, 2009, pp.
429-436, 2007 The existence of a "Plastikstufe" for a contact structure implies the Weinstein conjecture for all supporting contact forms.
Albers, Peter, Hofer, Helmut
arxiv +3 more sources
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
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
Some Results on Generalized Sasakian Space Forms
Applied Mathematics and Nonlinear Sciences, 2020 In the present frame work, we studied the semi generalized recurrent, semi generalized ϕ-recurrent, extended generalized ϕ-recurrent and concircularly locally ϕ-symmetric on generalized Sasakian space forms.
Venkatesha Shanmukha B.
doaj +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
Normal complex contact metric manifolds admitting a semi symmetric metric connection
Applied Mathematics and Nonlinear Sciences, 2020 In this paper, we study on normal complex contact metric manifold admitting a semi symmetric metric connection. We obtain curvature properties of a normal complex contact metric manifold admitting a semi symmetric metric connection.
Vanli Aysel Turgut +2 more
doaj +1 more source
Strongly pseudo-convex CR space forms
Complex Manifolds, 2019 For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection.
Cho Jong Taek
doaj +1 more source
Submanifolds of F‐structure manifold satisfying FK + (−)K+1F = 0
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 167-172, 2001., 2001 The purpose of this paper is to study invariant submanifolds of an n‐dimensional manifold M endowed with an F‐structure satisfying FK + (−)K+1F = 0 and FW + (−)W+1F ≠ 0 for 1 < W < K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper.
Lovejoy S. Das
wiley +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
Generalized Contact Bundles [PDF]
, 2016 In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the ...
Vitagliano, Luca, Wade, Aïssa
core +3 more sources