20 citations · 20 across the 3 of their papers we have counts for
4 papers
Non-singular weakly symmetric nilmanifolds
Y. Nikolayevsky, W. Ziller
A Riemannian manifold is called weakly symmetric if any two points in can be interchanged by an isometry. The compact ones have been well understood, and the main remaining…
Curvature homogeneous hypersurfaces in space forms
Robert Bryant, Luis Florit, Wolfgang Ziller
We classify curvature homogeneous hypersurfaces in S^4 and H^4. In higher dimesnsion one only has the FKM examples and an isolate one by Tsukada of a hypersurface in H^5. Besides s…
Palais-Smale sequences for the prescribed Ricci curvature functional
Artem Pulemotov, Wolfgang Ziller
We obtain a complete description of divergent Palais-Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As an application, we prove the ex…
Topological obstructions to fatness
Luis A. Florit, Wolfgang Ziller
Alan Weinstein showed that certain characteristic numbers of any Riemannian submersion with totally geodesic fibers and positive vertizontal curvatures are nonzero. In this paper w…