4 papers
The Hopf conjecture with -symmetry
Jan Nienhaus, Dennis Wulle
We prove that any closed even-dimensional manifold with positive sectional curvature admitting an isometric action by a 3-torus has positive Euler characteristic. We also prove the…
Fixed Point Homogeneous Orbifolds with Positive Sectional Curvature
Jan Nienhaus, Dennis Wulle
We classify fixed point homogeneous Riemannian orbifolds with positive sectional curvature up to equivariant diffeomorphism. As a corollary we obtain a classification of positively…
On the Geometry and Topology of Positively Curved Eschenburg Orbifolds
Dennis Wulle, Masoumeh Zarei
The present article explores the relationship between positive sectional curvature and the geometric and topological properties of Eschenburg -orbifolds. First, we prove that po…
Cohomogeneity one manifolds with quasipositive curvature
Dennis Wulle
In this paper we give a classification of cohomogeneity one manifolds admitting an invariant metric with quasipositive sectional curvature except for two -dimensional families.…