Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n−3)
We consider manifolds of oriented flags SO(n)/SO(2)×SO(n−3)(n≥4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous Φ-spaces belong to the classes Kill f, NKf, and G1f of generalized Hermi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/89545 |
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| author | Vitaly V. Balashchenko Anna Sakovich |
| author_facet | Vitaly V. Balashchenko Anna Sakovich |
| author_sort | Vitaly V. Balashchenko |
| collection | DOAJ |
| description | We consider manifolds of oriented flags SO(n)/SO(2)×SO(n−3)(n≥4)
as 4- and 6-symmetric spaces and
indicate characteristic conditions for invariant Riemannian
metrics under which the canonical f-structures on these
homogeneous Φ-spaces belong to the classes Kill f, NKf, and G1f of
generalized Hermitian geometry. |
| format | Article |
| id | doaj-art-23732be74fd741408ed9aea8eb2dabd2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-23732be74fd741408ed9aea8eb2dabd22025-02-03T06:44:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8954589545Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n−3)Vitaly V. Balashchenko0Anna Sakovich1Faculty of Mathematics and Mechanics, Belarusian State University, F. Scorina avenue 4, Minsk 220050, BelarusFaculty of Mathematics and Mechanics, Belarusian State University, F. Scorina avenue 4, Minsk 220050, BelarusWe consider manifolds of oriented flags SO(n)/SO(2)×SO(n−3)(n≥4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous Φ-spaces belong to the classes Kill f, NKf, and G1f of generalized Hermitian geometry.http://dx.doi.org/10.1155/IJMMS/2006/89545 |
| spellingShingle | Vitaly V. Balashchenko Anna Sakovich Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n−3) International Journal of Mathematics and Mathematical Sciences |
| title | Invariant f-structures on the flag manifolds
SO(n)/SO(2)×SO(n−3) |
| title_full | Invariant f-structures on the flag manifolds
SO(n)/SO(2)×SO(n−3) |
| title_fullStr | Invariant f-structures on the flag manifolds
SO(n)/SO(2)×SO(n−3) |
| title_full_unstemmed | Invariant f-structures on the flag manifolds
SO(n)/SO(2)×SO(n−3) |
| title_short | Invariant f-structures on the flag manifolds
SO(n)/SO(2)×SO(n−3) |
| title_sort | invariant f structures on the flag manifolds so n so 2 so n 3 |
| url | http://dx.doi.org/10.1155/IJMMS/2006/89545 |
| work_keys_str_mv | AT vitalyvbalashchenko invariantfstructuresontheflagmanifoldssonso2son3 AT annasakovich invariantfstructuresontheflagmanifoldssonso2son3 |