Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0
The purpose of this paper is to study invariant submanifolds of an n-dimensional manifold M endowed with an F-structure satisfying FK+(−)K+1F=0 and FW+(−)W+1F≠0 for 1<W<K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper. We show...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005257 |
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| _version_ | 1849691885304545280 |
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| author | Lovejoy S. Das |
| author_facet | Lovejoy S. Das |
| author_sort | Lovejoy S. Das |
| collection | DOAJ |
| description | The purpose of this paper is to study invariant submanifolds of an n-dimensional manifold M endowed with an F-structure satisfying FK+(−)K+1F=0 and FW+(−)W+1F≠0 for 1<W<K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper. We show that an invariant submanifold M˜, embedded in an F-structure manifold M in such a way that the complementary distribution Dm is never tangential to the invariant submanifold ψ(M˜), is an almost complex manifold with the induced F˜-structure. Some theorems regarding the integrability conditions of induced F˜-structure are proved. |
| format | Article |
| id | doaj-art-b3aa2e65a5c04d85a8bc2410ae4801ed |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b3aa2e65a5c04d85a8bc2410ae4801ed2025-08-20T03:20:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126316717210.1155/S0161171201005257Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0Lovejoy S. Das0Department of Mathematics and Computer Science, Kent State University, Tuscarawas Campus, New Philadelphia 44663, OH, USAThe purpose of this paper is to study invariant submanifolds of an n-dimensional manifold M endowed with an F-structure satisfying FK+(−)K+1F=0 and FW+(−)W+1F≠0 for 1<W<K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper. We show that an invariant submanifold M˜, embedded in an F-structure manifold M in such a way that the complementary distribution Dm is never tangential to the invariant submanifold ψ(M˜), is an almost complex manifold with the induced F˜-structure. Some theorems regarding the integrability conditions of induced F˜-structure are proved.http://dx.doi.org/10.1155/S0161171201005257 |
| spellingShingle | Lovejoy S. Das Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0 International Journal of Mathematics and Mathematical Sciences |
| title | Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0 |
| title_full | Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0 |
| title_fullStr | Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0 |
| title_full_unstemmed | Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0 |
| title_short | Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0 |
| title_sort | submanifolds of f structure manifold satisfying fk k 1f 0 |
| url | http://dx.doi.org/10.1155/S0161171201005257 |
| work_keys_str_mv | AT lovejoysdas submanifoldsoffstructuremanifoldsatisfyingfkk1f0 |