Results 11 to 20 of about 1,072 (60)

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

Virtual Legendrian Isotopy [PDF]

open access: yes, 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.
core   +1 more source

Notes on Ricci solitons in $f$-cosymplectic manifolds [PDF]

open access: yes, 2017
The purpose of this article is to study an $f$-cosymplectic manifold $M$ admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on $f$-cosymplectic manifolds. One is the class of contact Ricci solitons.
Chen, Xiaomin
core   +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

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

Sasakian metric as a Ricci soliton and related results [PDF]

open access: yes, 2013
We prove the following results: (i) A Sasakian metric as a non-trivial Ricci soliton is null $\eta$-Einstein, and expanding. Such a characterization permits to identify the Sasakian metric on the Heisenberg group $\mathcal{H}^{2n+1}$ as an explicit ...
Ghosh, Amalendu, Sharma, Ramesh
core   +3 more sources

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

Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]

open access: yes, 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
core   +3 more sources

Trapped Reeb orbits do not imply periodic ones

open access: yes, 2013
We construct a contact form on R^{2n+1}, n at least 2, equal to the standard contact form outside a compact set and defining the standard contact structure on all of R^{2n+1}, which has trapped Reeb orbits, including a torus invariant under the Reeb flow,
Geiges, Hansjörg   +2 more
core   +1 more source

Exactly fillable contact structures without Stein fillings

open access: yes, 2012
We give examples of contact structures which admit exact symplectic fillings, but no Stein fillings, answering a question of Ghiggini.Comment: 6 pages; Erroneous Lemma 2.7 removed and Section 2 shortened significantly; updated references and other ...
Bowden, J.
core   +2 more sources

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