Results 11 to 20 of about 1,072 (60)
Strongly pseudo-convex CR space forms
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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Virtual Legendrian Isotopy [PDF]
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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Notes on Ricci solitons in $f$-cosymplectic manifolds [PDF]
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
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Generalized almost paracontact structures
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
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D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton
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.
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Sasakian metric as a Ricci soliton and related results [PDF]
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
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A dimensional restriction for a class of contact manifolds
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
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Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]
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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Trapped Reeb orbits do not imply periodic ones
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
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Exactly fillable contact structures without Stein fillings
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.
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