Results 1 to 10 of about 432 (34)
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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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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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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Virtual Legendrian Isotopy [PDF]
, 2014 An elementary stabilization of a Legendrian link $L$ in the spherical cotangent bundle $ST^*M$ of a surface $M$ is a surgery that results in attaching a handle to $M$ along two discs away from the image in $M$ of the projection of the link $L$. A virtual
Chernov, V., Sadykov, R.
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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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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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Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]
, 2004 Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions.
Capitanio, Gianmarco
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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
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Contact metric manifolds with large automorphism group and (κ, µ)-spaces
Complex Manifolds, 2019 We discuss the classifiation of simply connected, complete (κ, µ)-spaces from the point of view of homogeneous spaces. In particular, we exhibit new models of (κ, µ)-spaces having Boeckx invariant -1.
Lotta Antonio
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Universal Prolongation of Linear Partial Differential Equations on Filtered Manifolds [PDF]
, 1969 The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type.
Neusser, Katharina
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