CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS

DOI10.1142/S0219887812500247zbMath1247.53060arXiv1107.5260MaRDI QIDQ2911896

Rodica Cristina Voicu, Gabriel Eduard Vîlcu

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5260

zbMATH Keywords

Einstein manifoldtwistor spacemixed 3-structureparaquaternionic structure

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Twistor methods in differential geometry (53C28) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Unnamed Item
• Unnamed Item
• On the structure of nearly pseudo-Kähler manifolds
• Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators
• About the geometry of almost para-quaternionic manifolds
• On contact manifolds
• Perturbative gauge theory as a string theory in twistor space
• On the topology of quaternion Kähler manifolds
• Contact manifolds in Riemannian geometry
• Curvature identities for Hermitian and almost Hermitian manifolds
• Curvature properties of twistor spaces of quaternionic Kähler manifolds
• Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces
• Positive sectional curvature on 3-Sasakian manifolds
• The central programme of twistor theory
• A survey on paracomplex geometry
• Real lightlike hypersurfaces of paraquaternionic Kähler manifolds
• Hyperbolic twistor space
• Some notes on differentiable manifolds with almost contact structures
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• On almost contact 3-structure
• Para-Hermitian and paraquaternionic manifolds
• Geometric realizations of para-Hermitian curvature models
• Homogeneous para-Kähler Einstein manifolds
• Mixed 3-Sasakian structures and curvature
• On manifolds with Sasakian $3$-structure over quaternion Kaehler manifolds
• SOME CONSTRUCTIONS OF ALMOST PARA-HYPERHERMITIAN STRUCTURES ON MANIFOLDS AND TANGENT BUNDLES
• Paraquaternionic Kähler manifolds

This page was built for publication: CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS