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https://repository.seku.ac.ke/handle/123456789/1062| Title: | On Totally Real Maximal Spacelike Submanifolds of an Indefinite Complex Space Form |
| Authors: | Wali, Augustus N. |
| Keywords: | Totally real spacelike submanifold Indefinite Complex space form |
| Issue Date: | 2009 |
| Publisher: | Research India Publications |
| Citation: | Mathematics Applied in Science and Technology Volume 1,Number 1(2009), pp. 1-7 |
| Abstract: | Chen-Ogiue [1] showed that if M is an n-dimensional compact totally real minimal submanifold immersed inMn (c) then M is totally geodesic 'fS n(n +1) 1 < c. 4(2n -1) The purpose of this manuscript is to study the geometry of an n- dimensional totally real maximal spacelike submanifold M immersed in an indefinite complex space form M(c),c 1:- O. We have generalized Chen- Ogiue's result by showing that if M is an n-dimensional compact totally real maximal spacelike submanifold of M;+P(c),C1:-0, thenS~(n+1)(n+2p)c. 4(2n+4p-l) Moreover, if S is less than (n +1)(n+2p) c then M is totally geodesic. |
| URI: | http://www.ripublication.com/Volume/mastv1n1.htm http://repository.seku.ac.ke/handle/123456789/1062 |
| Appears in Collections: | School of Science and Computing (JA) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Wali_On totally real maximal spacelike submanifolds of an indefinite complex space form.pdf | abstract | 556.73 kB | Adobe PDF |  View/Open |
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