CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS-Reference-Cited by-同舟云学术

CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS

Published:2012-05 Issue:03 Volume:09 Page:1250024
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

VÎLCU GABRIEL EDUARD¹²,VOICU RODICA CRISTINA³

Affiliation:

1. Petroleum-Gas University of Ploieşti, Department of Mathematics and Computer Science, Bulevardul Bucureşti, Nr. 39, Ploieşti 100680, Romania

2. University of Bucharest, Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, Str. Academiei, Nr. 14, Sector 1, Bucharest 70109, Romania

3. University of Bucharest, Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, Str. Academiei, Nr. 14, Sector 1, Bucharest 72200, Romania

Abstract

In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic Kähler manifold and prove the existence of both positive and negative mixed 3-Sasakian structures in a principal SO (2, 1)-bundle over a paraquaternionic Kähler manifold.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887812500247

Reference36 articles.

1. Twistor and reflector spaces of almost para-quaternionic manifolds

2. The Central Programme of Twistor Theory

3. Perturbative Gauge Theory as a String Theory in Twistor Space

4. Homogeneous para-Kähler Einstein manifolds

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