Some constructions of almost para-hyperhermitian structures on manifolds and tangent bundles
Stere Ianus,Gabriel Eduard Vîlcu +1 more
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In this article, the authors give some examples of almost para-hyperhermitian structures on the tangent bundle of an almost product manifold, on the product manifold $M\times\mathbb{R}$, where $M$ is a manifold endowed with a mixed 3-structure.Abstract:
In this paper we give some examples of almost para-hyperhermitian structures on the tangent bundle of an almost product manifold, on the product manifold $M\times\mathbb{R}$, where $M$ is a manifold endowed with a mixed 3-structure and on the circle bundle over a manifold with a mixed 3-structure.read more
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Homogeneous para-Kähler Einstein manifolds
TL;DR: In this article, it was shown that any invariant para-complex structure on a semisimple Lie group defines a unique para-Kahler Einstein structure with given nonzero scalar curvature.
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Homogeneous para-K\"ahler Einstein manifolds
TL;DR: In this paper, the authors define a para-K\"ahler manifold as a pseudo-Riemannian manifold with a parallel skew-symmetric para-complex structure.
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Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions
TL;DR: In this paper, the authors introduced a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of almost-paralellionic hermitian manifolds.
Submanifolds of (para-)quaternionic Kähler manifolds
TL;DR: In this article, the authors report on some recent results concerning para quaternionic Hermitian and Kahler manifolds and their special submanifolds, and treat in a unified way some basic matters on (para-)complex subMANifolds of (parA)-quaternionic manifolds.
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Mixed 3-Sasakian structures and curvature
TL;DR: In this paper, the authors studied the properties of the curvature of mixed 3-Sasakian structures, and proved that any manifold endowed with such a structure is Einstein.
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TL;DR: In this paper, the tangent sphere bundle is shown to be a contact manifold, and the contact condition is interpreted in terms of contact condition and k-contact and sasakian structures.
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Krishan L. Duggal,Aurel Bejancu +1 more
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3-Sasakian manifolds
TL;DR: In this article, an expository paper describing the geometry of certain Sasakian-Einstein manifolds has been presented, which describe near-horizon geometries of branes at conical singularities.
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Some constructions of almost para-hyperhermitian structures on manifolds and tangent bundles
Stere Ianus,Gabriel Eduard Vîlcu +1 more