On 3-(α,δ)-Sasaki Manifolds and their Canonical Submersions

On 3-(α,δ)-Sasaki Manifolds and their Canonical Submersions

We investigate 3-(α,δ)-Sasaki manifolds through their canonical connection. These manifolds are almost 3-contact metric manifolds satisfying the condition dη_i = 2αΦ_i + 2(α − δ)η_j ∧ η_k, thus generalizing 3-Sasaki manifolds. They admit a canonical metric connection ∇ with parallel skew torsion uni...

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Detalhes bibliográficos
Autor principal: Stecker, Leander
Outros Autores: Agricola, Ilka (Prof. Dr. habil.) (Orientador)
Formato: Dissertation
Idioma:inglês
Publicado em: Philipps-Universität Marburg 2021
Assuntos:
Riemannsche Submersion
Riemannian submersion
3-(α,δ)-Sasaki manifold
Zusammenhänge mit schief-symmetrischer Torsion
3-(α,δ)-Sasaki Mannigfaltigkeiten
curvature operators
connection with skew-torsion
Krü
strongly positiv curv
quaternionic Kähler manifold
Mathematik
quaternionisch Kähler Mannigfaltigkeit
Mathematics
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