Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/113891
Title: | Symmetric Spaces Rolling on Flat Spaces | Authors: | Jurdjevic, V. Markina, I. Leite, F. Silva |
Keywords: | Semi-Riemannian manifolds; Group actions; Cartan decomposition; Intrinsic and extrinsic rolling; Stiefel manifolds | Issue Date: | 2023 | Publisher: | Springer Nature | Project: | University of Bergen (incl Haukeland University Hospital) | Serial title, monograph or event: | Journal of Geometric Analysis | Volume: | 33 | Issue: | 3 | Abstract: | The objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language accessible to a wider audience, in particular to readers with interest in applications. Secondly, we concentrate on rolling an important class of Riemannian manifolds. In the first part of the paper, the relation between intrinsic and extrinsic rollings is explained in detail, while in the second partwe address rollings of symmetric spaces on flat spaces and complement the theoretical results with illustrative examples. | URI: | https://hdl.handle.net/10316/113891 | ISSN: | 1050-6926 1559-002X |
DOI: | 10.1007/s12220-022-01179-5 | Rights: | openAccess |
Appears in Collections: | I&D INESCC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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