2000/08/29 by Liviu Ornea, Ornea, Liviu, Paolo Piccinni +1
Mathematics · Physics and Astronomy · #53C15 #53C25 #53C55 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons #math.DG #msc:53C15 #msc:53C25 #msc:53C55
paper · pdf · doi:10.48550/arxiv.math/0008213
LaTex, 11 pages, to be published in Bull. Soc. Sc. Math. Roumanie, Volume in memory of G. Vranceanu
arxiv created 2000/08/29 · openalex publication_date 2000/08/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss conditions for the integrability of an almost complex structure defined on the total space of an induced Hopf S3-bundle over a Sasakian manifold . As an application, we obtain an uncountable family of inequivalent complex structures on the Stiefel manifolds of orthonormal 2-frames in Cn+1, non compatible with its standard hypercomplex structure. Similar families of complex structures are constructed on the Stiefel manifold of oriented orthonormal 4-frames in Rn+1, as well as on some special Stiefel manifolds related to the groups G2 and Spin(7).