Results 61 to 70 of about 3,068 (120)

A note on para-quaternion manifolds [PDF]

open access: yesarXiv, 2003
We show that a para-quaternion nearly Kahler manifold is necessarily a para-quaternion Kahler ...
arxiv  

Classification of contact structures associated with the CR-structure of the complex indicatrix

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
doaj   +1 more source

Pseudoholomorphic discs near an elliptic point [PDF]

open access: yesarXiv, 2005
We prove the existence and study the geometry of Bishop discs near an elliptic point of a real n-dimensional submanifold of an almost complex n-dimensional manifold.
arxiv  

A closed symplectic four-manifold has almost Kaehler metrics of negative scalar curvature [PDF]

open access: yesarXiv, 2006
We show that every closed symplectic four-dimensional manifold admits compatible almost Kaehler metrics of negative scalar curvature.
arxiv  

Formality and the Lefschetz property in symplectic and cosymplectic geometry

open access: yesComplex Manifolds, 2015
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply ...
Bazzoni Giovanni   +2 more
doaj   +1 more source

On three dimensional conformally flat almost cosymplectic manifolds [PDF]

open access: yesarXiv, 2007
In the paper there are described new examples of conformally flat three dimensional almost cosymplectic manifolds. All these manifolds form a class which was completely characterized.
arxiv  

Pseudo-slant submanifolds in cosymplectic space forms

open access: yesActa 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
doaj   +1 more source

On Kähler-like and G-Kähler-like almost Hermitian manifolds

open access: yesComplex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
doaj   +1 more source

Almost Paracontact Manifolds [PDF]

open access: yesarXiv, 2008
In this paper eleven basic classes of almost paracontact manifolds are introduced and some examples are constructed.
arxiv  

Formality of cyclic cochains [PDF]

open access: yesAdv. Math. 231 (2012), no. 2, 624--650, 2008
We prove Kontsevich's cyclic formality conjecture.
arxiv  

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