23 citations · 54 across the 20 of their papers we have counts for
25 papers
Quaternion-Kähler manifolds with non-negative quaternionic sectional curvature
Andrei Moroianu, Uwe Semmelmann, Gregor Weingart
Compact Hermitian symmetric spaces are Kähler manifolds with constant scalar curvature and non-negative sectional curvature. A famous result by A. Gray states that, conversely, a c…
A Graphical Calculus for Stable Curvature Invariants
Gregor Weingart
In this article we develop a graphical calculus for stable invariants of Riemannian manifolds akin to the graphical calculus for Rozansky-Witten invariants for hyperkähler manifold…
On quaternionic bisectional curvature
Oscar Macia, Uwe Semmelmann, Gregor Weingart
In this article we study the concept of quaternionic bisectional curvature introduced by B. Chow and D. Yang for quaternion-Kähler manifolds. We show that non-negative quaternionic…
On Connections and their Curvatures
Gustavo Amilcar Saldaña Moncada, Gregor Weingart
This paper presents a brief study on connections on fiber, principal and vector smooth bundles as well as some relations with their curvatures.
Stability of the Non-Symmetric Space
Paul Schwahn, Uwe Semmelmann, Gregor Weingart
We prove that the normal metric on the homogeneous space is stable with respect to the Einstein-Hilbert action, thereby exhibiting the first known example of…
Stability of Compact Symmetric Spaces
Uwe Semmelmann, Gregor Weingart
In this article we study the stability problem for the Einstein-Hilbert functional on compact symmetric spaces following and completing the seminal work of Koiso on the subject. We…