An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures
| dc.contributor.author | Niedziałomski, Kamil | |
| dc.date.accessioned | 2021-11-19T10:57:22Z | |
| dc.date.available | 2021-11-19T10:57:22Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Niedziałomski, K. An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures. Ann Glob Anal Geom 56, 167–192 (2019). https://doi.org/10.1007/s10455-019-09662-z | pl_PL |
| dc.identifier.issn | 0232-704X | |
| dc.identifier.uri | http://hdl.handle.net/11089/39819 | |
| dc.description | Mathematics Subject Classification 53C10 · 53C24 · 53C43 | pl_PL |
| dc.description.abstract | For a Riemannian G-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we interpret in certain cases. We focus on almost Hermitian and almost contact metric structures. | pl_PL |
| dc.description.sponsorship | I wish to thank Ilka Agricola for indication of references [4] and [1] and helpful conversations. The author is partially supported by the National Science Center, Poland—Grant Miniatura 2017/01/X/ST1/01724. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer Nature | pl_PL |
| dc.relation.ispartofseries | Annals of Global Analysis and Geometry;56 | |
| dc.rights | Uznanie autorstwa 4.0 Międzynarodowe | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Integral formula | pl_PL |
| dc.subject | Intrinsic torsion | pl_PL |
| dc.subject | Almost Hermitian structures | pl_PL |
| dc.subject | Almost contact metric structures | pl_PL |
| dc.title | An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures | pl_PL |
| dc.type | Article | pl_PL |
| dc.rights.holder | © The Author(s) 2019 | pl_PL |
| dc.page.number | 167–192 | pl_PL |
| dc.contributor.authorAffiliation | Department of Mathematics and Computer Science, University of Łódź, ul. Banacha 22, 90-238 Lodz, Poland | pl_PL |
| dc.identifier.eissn | 1572-9060 | |
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| dc.contributor.authorEmail | kamil.niedzialomski@wmii.uni.lodz.pl | pl_PL |
| dc.identifier.doi | 10.1007/s10455-019-09662-z | |
| dc.discipline | matematyka | pl_PL |
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