2014/08/31 by Klaus Kroencke, Klaus Kröncke
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Contraction (grammar) #Dimension (graph theory) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Infinitesimal #Mathematical analysis #Mathematical physics #Mathematics #Philosophy #Physics #Projective test #Pure mathematics #Quantum mechanics #Rigidity (electromagnetism) #math.DG #msc:53C21 #msc:53C25
paper · pdf · doi:10.1007/s12220-015-9608-4
published as J. Geom. Anal. 26 (2016) no. 3, 1795-1807 · 11 pages, final version, to appear in J. Geom. Anal
openalex publication_date 2015/04/06 · arxiv created 2015/06/26 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, an obstruction against the integrability of certain infinitesimal solitonic deformations is given. Using this obstruction, we show that the complex projective spaces of even complex dimension are rigid as Ricci solitons although they have infinitesimal solitonic deformations.