A Splitting of Vector Bundles with Connection and Pseudo-Inverses of the Fundamental Form
| العنوان: | A Splitting of Vector Bundles with Connection and Pseudo-Inverses of the Fundamental Form |
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| المؤلفون: | Ryuji Ishii, Naoto Abe |
| المصدر: | Results in Mathematics. 51:181-195 |
| بيانات النشر: | Springer Science and Business Media LLC, 2008. |
| سنة النشر: | 2008 |
| مصطلحات موضوعية: | Exact sequence, Mathematics (miscellaneous), Unimodular matrix, Chern class, Applied Mathematics, Mathematical analysis, Immersion (mathematics), Vector bundle, Existence theorem, Mathematics::Differential Geometry, Mathematics, Splitting principle |
| الوصف: | We investigate a splitting of a short exact sequence of vector bundles with connection. We obtain an existence theorem of a unimodular splitting under a certain regularity condition on the fundamental form. In particular, we use a pseudo-inverse of the fundamental form to choose a canonical splitting, which is applied to an equiaffine immersion. |
| تدمد: | 1420-9012 1422-6383 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::458844c12e41ecbd1160849f8bf1254c https://doi.org/10.1007/s00025-007-0267-z |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........458844c12e41ecbd1160849f8bf1254c |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 14209012 14226383 |
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