Homogeneous Sasakian and 3-Sasakian structures from the spinorial viewpoint
From MaRDI portal
Publication:6201190
DOI10.1016/j.aim.2024.109493arXiv2208.09301OpenAlexW4390926804MaRDI QIDQ6201190
Publication date: 20 February 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.09301
homogeneous spacesKilling spinorsSasakian manifoldsinvariant differential forms3-Sasakian manifoldsinvariant spinors
Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized Killing spinors on spheres
- Elliptic genera, involutions, and homogeneous spin manifolds
- 7-dimensional compact Riemannian manifolds with Killing spinors
- Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds
- An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
- Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
- Contact manifolds in Riemannian geometry
- Parallel spinors and parallel forms
- On the spinor representation of surfaces in Euclidean \(3\)-space
- On nearly parallel \(G_2\)-structures
- Conformal Killing forms on Riemannian manifolds
- Pseudo-Riemannian \(T\)-duals of compact Riemannian homogeneous spaces
- Homogeneous non-degenerate 3-\((\alpha,\delta)\)-Sasaki manifolds and submersions over quaternionic Kähler spaces
- G-invariant spin structures on spheres
- Generalizations of 3-Sasakian manifolds and skew torsion
- 3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures
- Affine connections on 3-Sasakian homogeneous manifolds
- Instantons and Killing spinors
- Real Killing spinors and holonomy
- Tensor subalgebras and first fundamental theorems in invariant theory
- On almost contact 3-structure
- Transformation groups of spheres
- Revisiting the classification of homogeneous 3-Sasakian and quaternionic Kähler manifolds
- On Invariant Connections over a Principal Fibre Bundle
- Symmetry, Representations, and Invariants
- Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
- On manifolds with Sasakian $3$-structure over quaternion Kaehler manifolds
- Generalized Killing spinors on Einstein manifolds
- Invariant Affine Connections on Homogeneous Spaces
- Invariant spinors on homogeneous spheres
This page was built for publication: Homogeneous Sasakian and 3-Sasakian structures from the spinorial viewpoint