Results 21 to 30 of about 583 (74)

Sasaki-Einstein and paraSasaki-Einstein metrics from (\kappa,\mu)-structures [PDF]

open access: yes, 2013
We prove that any non-Sasakian contact metric (\kappa,\mu)-space admits a canonical \eta-Einstein Sasakian or \eta-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the values of ...
Alegre   +33 more
core   +2 more sources

On Almost Paracontact Almost Paracomplex Riemannian Manifolds [PDF]

open access: yes, 2018
Almost paracontact manifolds of an odd dimension having an almost paracomplex structure on the paracontact distribution are studied. The components of the fundamental (0,3)-tensor, derived by the covariant derivative of the structure endomorphism and the
Manev, Mancho, Tavkova, Veselina
core   +2 more sources

New characterization of b-m2 developable surfaces

open access: yesActa Scientiarum: Technology, 2015
In this paper, b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional Ricci symmetric para-Sasakian manifold P is studied.
Talat Körpınar
doaj   +1 more source

Ricci solitons in three-dimensional paracontact geometry [PDF]

open access: yes, 2014
We completely describe paracontact metric three-manifolds whose Reeb vector field satisfies the Ricci soliton equation. While contact Riemannian (or Lorentz\-ian) Ricci solitons are necessarily trivial, that is, $K$-contact and Einstein, the paracontact ...
Calvaruso, Giovanni, Perrone, Antonella
core   +1 more source

Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]

open access: yes, 2012
The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Vilcu, Gabriel Eduard, Visinescu, Mihai
core   +3 more sources

A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold

open access: yesExtracta Mathematicae
This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
doaj   +1 more source

Index of quasi-conformally symmetric semi-Riemannian manifolds [PDF]

open access: yes, 2012
We find the index of $\widetilde{\nabla}$-quasi-conformally symmetric and $\widetilde{\nabla}$-concircularly symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is metric ...
Gupta, Punam   +2 more
core   +3 more sources

Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]

open access: yesJournal of Hyperstructures
In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
doaj   +1 more source

Some constructions of almost para-hyperhermitian structures on manifolds and tangent bundles

open access: yes, 2007
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 ...
Bejan C. L.   +10 more
core   +1 more source

The GJMS operators in geometry, analysis and physics

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

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