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Curvature properties of 3-$$(\alpha ,\delta )$$-Sasaki manifolds by Ilka Agricola; Giulia Dileo; Leander Stecker is a Mathematics article available to read on EtoBox.
What is Curvature properties of 3-$$(\alpha ,\delta )$$-Sasaki manifolds about?
Abstract We investigate curvature properties of 3-$$(\alpha ,\delta )$$ ( α , δ ) -Sasaki manifolds, a special class of almost 3-contact metric manifolds generalizing 3-Sasaki manifolds (corresponding to $$\alpha =\delta =1$$ α = δ = 1 ) that admit a canonical metric connection with skew torsion and define a Riemannian submersion over a quaternionic Kähler manifold with vanishing, positive or negative scalar curvature, according to $$\delta =0$$ δ = 0 , $$\alpha \delta >0$$ α δ > 0 or $$\alpha \delta <0$$ α δ < 0 . We shall investigate both the Riemannian curvature and the curvature of the canonical connection, with particular focus on their curvature operators, regarded as symmetric endomorphisms of the space of 2-forms. We describe their spectrum, find distinguished eigenforms, and study the conditions of strongly definite curvature in the sense of Thorpe.
Who reads Curvature properties of 3-$$(\alpha ,\delta )$$-Sasaki manifolds?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Ilka Agricola; Giulia Dileo; Leander Stecker
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)