GTA Seminar | Speaker: Ilka Agricola (Marburg, Germany)

Title: 3-(𝛼,𝛿)-Sasaki Manifolds and Strongly Positive Curvature

Abstract: We consider 3-(α,δ)-Sasaki manifolds, generalizing the classic 3- Sasaki case. We show how these are closely related to various types of quaternionic Kahler orbifolds via connections with skew-torsion. 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 (Marburg / Lisbon).