SASAKIAN STRUCTURE ON THE PRODUCT OF SASAKIAN AND KÄHLERIAN MANIFOLDS

2017 ◽  
Vol 20 (4) ◽  
pp. 409-425
Author(s):  
K. Zegga ◽  
G. Beldjilali ◽  
A. Mohammed Cherif
Keyword(s):  
Sasakian Structure ◽  
Kählerian Manifolds

A class of non-Kählerian manifolds

1986 ◽  
Vol 100 (3) ◽  
pp. 519-521 ◽  
Author(s):  
F. E. A. Johnson
Keyword(s):  
Group Theory ◽  
Fundamental Groups ◽  
Genus 2 ◽  
Kählerian Manifolds

Let S+ (resp. S−) denote the class of fundamental groups of closed orientable (resp. non-orientable) 2-manifolds of genus ≥ 2, and let surface = S+ ∪ S−. In the list of problems raised at the 1977 Durham Conference on Homological Group Theory occurs the following([7], p. 391, (G. 3)).

scholarly journals Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Dae Ho Jin
Keyword(s):  
Vector Field ◽  
Space Form ◽  
Sasakian Manifold ◽  
Sasakian Space Form ◽  
Space Forms ◽  
Sasakian Structure ◽  
Sasakian Space Forms ◽  
Generalized Sasakian Space Form ◽  
Characterization Theorems ◽  
Lightlike Hypersurfaces

We study lightlike hypersurfacesMof an indefinite generalized Sasakian space formM-(f1,f2,f3), with indefinite trans-Sasakian structure of type(α,β), subject to the condition that the structure vector field ofM-is tangent toM. First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type(α,β). Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.

RIEMANNIAN MANIFOLDS. KÁHLERIAN MANIFOLDS

2000 ◽  
pp. 235-302
Author(s):  
YVONNE CHOQUET-BRUHAT ◽  
CÉCILE DEWITT-MORETTE
Keyword(s):  
Riemannian Manifolds ◽  
Kählerian Manifolds

scholarly journals Invariance of basic Hodge numbers under deformations of Sasakian manifolds

2020 ◽  
Author(s):  
Paweł Raźny
Keyword(s):  
Elliptic Operators ◽  
Holomorphic Foliation ◽  
Sasakian Manifolds ◽  
Contact Manifolds ◽  
Continuity Theorem ◽  
Riemannian Foliations ◽  
Holomorphic Structure ◽  
Sasakian Structure ◽  
Hodge Numbers ◽  
Small Deformations

Abstract We show that the Hodge numbers of Sasakian manifolds are invariant under arbitrary deformations of the Sasakian structure. We also present an upper semi-continuity theorem for the dimensions of kernels of a smooth family of transversely elliptic operators on manifolds with homologically orientable transversely Riemannian foliations. We use this to prove that the $$\partial {\bar{\partial }}$$ ∂ ∂ ¯ -lemma and being transversely Kähler are rigid properties under small deformations of the transversely holomorphic structure which preserve the foliation. We study an example which shows that this is not the case for arbitrary deformations of the transversely holomorphic foliation. Finally we point out an application of the upper-semi continuity theorem to K-contact manifolds.

scholarly journals On an (ε,δ)-trans-Sasakian structure

2012 ◽  
Vol 61 (1) ◽  
pp. 20 ◽  
Author(s):  
H G Nagaraja ◽  
R C Premalatha ◽  
G Somashekara
Keyword(s):  
Sasakian Structure
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