Results 1 to 10 of about 13 (13)

Thurston’s fragmentation and c-principles

open access: yesForum 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

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

open access: yesAdvanced 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

Rigidity properties of holomorphic Legendrian singularities [PDF]

open access: yesÉpijournal 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

Contact manifolds, Lagrangian Grassmannians and PDEs

open access: yesComplex 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

open access: yesForum 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

Strongly pseudo-convex CR space forms

open access: yesComplex 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

Contact metric manifolds with large automorphism group and (κ, µ)-spaces

open access: yesComplex 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
doaj   +1 more source

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

open access: yesAnnales Mathematicae Silesianae, 2019
In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains ...
Kumar D.L. Kiran, Nagaraja H.G., Venu K.
doaj   +1 more source

Generalized almost paracontact structures

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated.
Blaga Adara M., Ida Cristian
doaj   +1 more source

A dimensional restriction for a class of contact manifolds

open access: yesDemonstratio Mathematica, 2017
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
doaj   +1 more source

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