57 citations · 499 across the 40 of their papers we have counts for
10 papers · 1 filter
Sasaki versus Kähler groups
D. Kotschick, G. Placini
We study fundamental groups of compact Sasaki manifolds and show that compared to Kähler groups, they exhibit rather different behaviour. This class of groups is not closed under t…
Unbounded Pontryagin numbers on nonnegatively curved spin manifolds
E. Hsiao, D. Kotschick
We prove that any rational linear combination of Pontryagin numbers that does not factor through the universal elliptic genus is unbounded on connected closed spin manifolds of non…
Sasaki structures distinguished by their basic Hodge numbers
D. Kotschick, G. Placini
In all odd dimensions we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension we prove more precise resu…
The complex geometry of two exceptional flag manifolds
D. Kotschick, D. K. Thung
We discuss the complex geometry of two complex five-dimensional Kähler manifolds which are homogeneous under the exceptional Lie group . For one of these manifolds rigidity of…
Geometric formality and non-negative scalar curvature
D. Kotschick
We classify manifolds of small dimension that admit both, a Riemannian metric of non-negative scalar curvature, and a -- a priori different -- metric for which all wedge products o…
Fibrations and fundamental groups of Kaehler-Weyl manifolds
G. Kokarev, D. Kotschick
We extend the Siu--Beauville theorem to a certain class of compact Kaehler--Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever the…