67 citations · 506 across the 65 of their papers we have counts for
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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…
Linear Instability of Sasaki Einstein and nearly parallel manifolds
Uwe Semmelmann, Changliang Wang, M. Y. -K. Wang
In this article we study the stability problem for the Einstein metrics on Sasaki Einstein and on complete nearly parallel manifolds. In the Sasaki case we show linear…
Deformations of nearly -structures
Paul-Andi Nagy, Uwe Semmelmann
We describe the second order obstruction to deformation for nearly structures on compact manifolds. Building on work of B.Alexandrov and U.Semmelmann this allows proving rigi…
Conformal Killing forms in Kaehler geometry
Paul-Andi Nagy, Uwe Semmelmann
For Kaehler manifolds we explicitly determine the solution to the conformal Killing form equation in middle degree. In particular, we complete the classification of conformal Killi…
An Obata-type characterization of Calabi metrics on line bundles
Nicolas Ginoux, Georges Habib, Mihaela Pilca +1
We characterize those complete K{ä}hler manifolds supporting a nonconstant real-valued function with critical points whose Hessian is complex linear, has pointwise two eigenvalues…
An Obata-type characterization of doubly-warped product K\''ahler manifolds
Nicolas Ginoux, Georges Habib, Mihaela Pilca +1
We give a characterization {\sl à la Obata} for certain families of K\''ahler manifolds. These results are in the same line as other extensions of the well-known Obata's rigidity t…