Results 51 to 60 of about 1,828 (149)
Sasaki-Einstein and paraSasaki-Einstein metrics from (\kappa,\mu)-structures [PDF]
, 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
Generalized Goldberg Formula [PDF]
, 2016 In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed $p$-form acting on the de Rham algebra of a Riemannian manifold.
De Nicola, Antonio, Yudin, Ivan
core +2 more sources
Contact Calabi-Yau manifolds and Special Legendrian submanifolds [PDF]
, 2007 We consider a generalization of Calabi-Yau structures in the context of $\alpha$-Sasakian manifolds. We study deformations of a special class of Legendrian submanifolds and classify invariant contact Calabi-Yau structures on 5-dimensional nilmanifolds ...
Tomassini, Adriano, Vezzoni, Luigi
core +5 more sources
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations [PDF]
, 2018 We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the horizontal and vertical Laplacians.
Baudoin, Fabrice +3 more
core +3 more sources
Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds [PDF]
, 2016 For a fat sub-Riemannian structure, we introduce three canonical Ricci curvatures in the sense of Agrachev-Zelenko-Li. Under appropriate bounds we prove comparison theorems for conjugate lengths, Bonnet-Myers type results and Laplacian comparison ...
Rizzi, Luca, Silveira, Pavel
core +4 more sources
The GJMS operators in geometry, analysis and physics
Journal 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
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source
Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi +3 more
wiley +1 more source
Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics [PDF]
, 2004 We review our study of Sasakian geometry as an agent for proving the existence of Einstein metrics on odd dimensional manifolds. Particular emphasis is given to the Sasakian structures occuring on links of isolated hypersurface singularities.Comment ...
Boyer, Charles P., Galicki, Krzysztof
core +3 more sources
The $Spin(7)$-structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy
, 2010 We completely explore the system of ODE's which is equivalent to the existence of a parallel $Spin(7)$-structure on the cone over a 7-dimensional 3-Sasakian manifold. The one-dimensional family of solutions of this system is constructed. The solutions of
Ch. Boyer +8 more
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