| Authors: | Blagojević, Pavle Karasev, Roman |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | The Schwarz genus of the Stiefel manifold | Journal: | Topology and its Applications | Volume: | 160 | Issue: | 18 | First page: | 2340 | Last page: | 2350 | Issue Date: | 1-Dec-2013 | Rank: | M22 | ISSN: | 0166-8641 | DOI: | 10.1016/j.topol.2013.07.028 | Abstract: | In this paper we compute: the Schwarz genus of the Stiefel manifold Vk(Rn) with respect to the action of the Weyl group Wk:=(Z/2)k⋊Sk, and the Lusternik-Schnirelmann category of the quotient space Vk(Rn)/Wk. Furthermore, these results are used in estimating the number of critically outscribed parallelotopes around a strictly convex body, and Birkhoff-James orthogonal bases of a normed finite dimensional vector space. |
Keywords: | Inscribing and outscribing | Lusternik-Schnirelmann category | Schwarz genus | Publisher: | Elsevier | Project: | European Unionʼs Seventh Framework Programme (FP7/2007–2013)/ERC, Grant agreement No. 247029-SDModels Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security ERC Advanced Research, Grant No. 267195 (DISCONV) Presidentʼs of Russian Federation, grant MD-352.2012.1 Russian government, project 11.G34.31.0053 |
Show full item record
SCOPUSTM
Citations
2
checked on Apr 2, 2025
Page view(s)
22
checked on Jan 30, 2025
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.