О локально выпуклых гиперповерхностях в пространствах Финслера–Адамара
A criterion for the harmonicity of the Grassmann map of an immersed smooth submanifold in some Lie group with left-invariant metric is given. Using the obtained expression, we obtain criteria for the harmonicity of this map in both cases of totally geodesic submanifolds in Lie groups with biinvarian...
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2008
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/6218 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | О локально выпуклых гиперповерхностях в пространствах Финслера–Адамара / Е.А. Олин // Доп. НАН України. — 2008. — № 11. — С. 24-28. — Бібліогр.: 7 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | A criterion for the harmonicity of the Grassmann map of an immersed smooth submanifold in some Lie group with left-invariant metric is given. Using the obtained expression, we obtain criteria for the harmonicity of this map in both cases of totally geodesic submanifolds in Lie groups with biinvariant metric and cylindrical submanifolds in Heisenberg groups.
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| ISSN: | 1025-6415 |