On the geometry and the curvature of 3-(α, δ)-Sasaki manifolds

Início: 09/12/2022 17:00

Término: 09/12/2022 18:00

Palestrante: Ilka Agricola (Marburg)

E-mail do Palestrante: agricola@mathematik.uni-marburg.de

Resumo: We consider $3$-$(alpha, delta)$-Sasaki manifolds, generalizing the classic 3-Sasaki case. We show how these are closely related to various types of quaternionic Kähler orbifolds via connections with skew-torsion and a canonical submersion. Making use of this relation we discuss curvature operators and show that in dimension 7 many such manifolds have strongly positive curvature. Joint work with Giulia Dileo (Bari) and Leander Stecker (Hamburg).