Results 101 to 110 of about 249 (140)

Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]

Entropy (Basel)
Fré PG, Sorin AS, Trigiante M.
europepmc   +1 more source

On a class of \(SP\)-Sasakian manifold

, 1990
A para-Sasakian manifold, i.e. a special paracontact manifold with a structure \((\varphi,\xi,\eta,g)\), is called special para-Sasakian (shortly \(SP\)-Sasakian) if the 1-form \(\eta\) satisfies the equation \(\nabla d\eta=\varepsilon(-g+d\eta\otimes d\eta)\), \(\varepsilon=\pm 1\).
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On a class of Sasakian manifolds

, 2008
ARSLAN, KADRI, DE, UDAY CHAND, ÖZGÜR, CIHAN, JUN, JAE-BOK   +3 more
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$n$-Sasakian manifolds

$n$-Sasakian manifolds
We define a new class of manifolds called $n$-Sasakian manifolds that enjoy remarkable geometric properties. We furnish examples of such manifolds and make links to the study of isoparametric hypersurfaces. We demonstrate that these examples carry Einstein metrics.
openaire  

On hypersurfaces in Sasakian manifolds

Kodai Mathematical Journal, 1969
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Hypersurfaces of a Sasakian Manifold [PDF]

Mathematics, 2020
We extend the study of orientable hypersurfaces in a Sasakian manifold initiated by Watanabe. The Reeb vector field ξ of the Sasakian manifold induces a vector field ξ T on the hypersurface, namely the tangential component of ξ to hypersurface, and it also gives a smooth function ρ on the hypersurface, which is the projection ...
Gabriel-Eduard Vilcu, Haila Alodan, Nasser Bin Turki   +2 more
exaly   +3 more sources

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Trans-Sasakian manifolds homothetic to Sasakian manifolds

Publicationes Mathematicae Debrecen, 2016
Let \((M,g,\eta,\varphi,\xi)\) be a \((2n+1)\)-dimensional almost contact metric manifold, where \(g\) is a Riemannian metric, \(\eta\) is a smooth 1-form, \(\xi\) is the Reeb vector field and \(\varphi\) is \((1, 1)\)-tensor field. If there are smooth functions \((\alpha,\beta)\) satisfying \((\nabla \varphi)(X,Y) =\alpha\, (g(X,Y)\xi - \eta(Y)X ...
Desmukh, Sharief, De, Uday Chand, Al-Solamy, Falleh   +2 more
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From a single Sasakian manifold to a family of Sasakian manifolds

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2018
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Gherici Beldjilali, Ahmed Mohammed Cherif, Kaddour Zegga   +2 more
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Trans-Sasakian Manifolds Homothetic to Sasakian Manifolds

Mediterranean Journal of Mathematics, 2015
Let \((M,\varphi,\xi,\eta,g,\alpha,\beta)\) be a 3-dimensional compact simply connected trans-Sasakian manifold. It is proved that such a manifold is homothetic to a Sasakian manifold if and only if the functions \(\alpha\) and \(\beta\) satisfy one of the following Poisson equations: 1) \(\Delta\alpha= \beta\); 2) \(\Delta\alpha= \alpha^2\beta\); 3) \(
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Deformation of an LSP-Sasakian Manifold

Acta Universitatis Apulensis, 2014
Summary: We shall show LSP Sasakian manifold is invariant under some deformation. Also we shall discuss some properties on LSP Sasakian manifold with the deformation and the behaviour of the Nijenhuis tensor on LSP Sasakian manifold with respect to the same deformation.
Patra, C., Bhattacharyya, A.
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