Results 1 to 10 of about 723 (54)
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
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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
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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
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
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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
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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
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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
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
Sibel Sular
semanticscholar +1 more source
Pseudo-slant submanifolds in cosymplectic space forms
Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally ...
Dirik Süleyman, Atçeken Mehmet
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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
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