Results 61 to 70 of about 304,775 (175)
On six-dimensional Vaisman — Gray submanifolds of the octave algebra
Дифференциальная геометрия многообразий фигур, 2019 The W1 + W4 class of almost Hermitian manifolds (in accordance with the Gray — Hervella classification) is usually named as the class of Vaisman — Gray manifolds.
M. Banaru
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The geometry of a 3-quasi-Sasakian manifold [PDF]
, 1997 3-quasi-Sasakian manifolds were studied systematically by the authors in a recent paper as a suitable setting unifying 3-Sasakian and 3-cosymplectic geometries. In this paper many geometric properties of this class of almost 3-contact metric manifolds
Montano, Beniamino Cappelletti +2 more
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On the harmonicity of normal almost contact metric structures
, 2011 We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps. We rewrite these harmonicity equations in terms of the Riemann curvature tensor and find conditions relating the harmonicity of the almost contact and almost complex ...
Loubeau, E., Vergara-Diaz, E.
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Invariant structures and gauge transformation of almost contact metric manifolds
TURKISH JOURNAL OF MATHEMATICS, 2016 Summary: In this paper, conditions for K-contact, Sasakian, and cosymplectic structures to be invariant under gauge transformation are found. Moreover, the same question is studied for 3-Sasakian, 3-almost contact, and 3-cosymplectic manifolds. Finally, it is shown that a slant submanifold of an almost contact metric manifold is invariant by gauge ...
Mirmohammad Rezaii, Morteza +1 more
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On some almost contact metric hypersurfaces of W4-manifolds
Дифференциальная геометрия многообразий фигур, 2018 It is proved that 3-hypersurfaces of W4-manifolds admit an almost contact metric structures that can be identical to the structure induced on 2-hypersurfaces of such manifolds.
M. Banaru
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Real hypersurfaces of indefinite Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1993 We show the existence of ( ϵ )-almost contact metric structures and give examples of ( ϵ )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field.
A. Bejancu, K. L. Duggal
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Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2018 In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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Admissible para-hyper-Kähler structures on distributions of almost contact metric manifolds
Дифференциальная геометрия многообразий фигур, 2018 The concepts of an admissible (almost) para-hyper-Kähler structure are introduced. On distribution of an almost contact metric manifold, as on the total space of a vector bundle, an admissible almost para-hypercomplex structure is defined.
S. Galaev
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On Some Transverse Geometrical Structures of Lifted Foliation to Its Conormal Bundle
The Scientific World Journal, 2015 We consider the lift of a foliation to its conormal bundle and some transverse geometrical structures associated with this foliation are studied. We introduce a good vertical connection on the conormal bundle and, moreover, if the conormal bundle is ...
Cristian Ida, Alexandru Oană
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
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