Generic submanifolds of a locally conformal Kaehler manifold-II
, 1993 The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
Kouei Sekigawa, M. Hasan Shahid
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An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry [PDF]
Pacific Journal of Mathematics, 2008 27 pages, v.
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Toric $G_2$ and nearly Kaehler geometry
, 2019 We will discuss analogues of toric geometry in the $G_2$ and nearly Kaehler settings using a multisymplectic generalization of the moment map called the multi-moment map.
Dixon, Kael
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Hermitian Yang–Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi–Yau twistor 6-manifolds [PDF]
Nuclear Physics B, 2010 We consider the Hermitian-Yang-Mills (HYM) equations for gauge potentials on a complex vector bundle E over an almost complex manifold X^6 which is the twistor space of an oriented Riemannian manifold M^4. Each solution of the HYM equations on such X^6 defines a pseudo-holomorphic structure on the bundle E.
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Nearly Kaehler 6-manifolds with reduced holonomy
, 1999 We consider a complete 6-dimensional nearly Kaehler manifold together with the first canonical Hermitian connection. We show that if the holonomy of this connection is reducible, then the manifold endowed with a modified metric and almost complex ...
Moroianu, A. +2 more
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Nearly Kähler manifolds of constant antiholomorphic sectional curvature
, 2010 3 pages, MR 84a ...
Gancev, G. T., Kassabov, O. T.
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The Ricci Curvature of Totally Real 3-dimensional Submanifolds of the Nearly Kaehler 6-Sphere
, 2007 Let M be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. If the Ricci curvature of M satisfies Ric(M) ,thenM is a totally geodesic submanifold ( and Ric(M)# 2)
Li Haizhong, Kaehler -sphere
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CR submanifolds of a Kaehler manifold. II
, 1979 The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems on parallel normal sections and on a special type of flatness of the normal connection on a CR submanifold are obtained.
Aurel Bejancu
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An optimal inequality on warped product semi-slant submanifolds of nearly Kaehler manifolds
, 2014 Non-existence of warped product semi-slant submanifolds of Kaehler manifolds was proved in [17], it is interesting to find their existence. In this paper, we prove the existence of warped product semi-slant submanifolds of nearly Kaehler manifolds by a characterization. To this end we obtain an inequality for the squared norm of second fundamental form
Uddin, Siraj +3 more
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On a Kaehler manifold equipped with lift of quarter symmetric non-metric connection [PDF]
, 2019 This paper contains the study of Kaehler manifolds equipped with lift ofquarter-symmetric non-metric connection. In this paper, a condition on themanifold for being a Kaehler manifold with respect to lift of quarter-symmetricnon-metric connection is ...
Pandey, Pankaj, Chaturvedi, Braj Bhushan
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