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https://repository.seku.ac.ke/handle/123456789/1063| Title: | Indefinite Anti-Invariant Submanifolds of An Indefinite Complex Space Form |
| Authors: | Wali, Augustus N. |
| Keywords: | Anti-invariant submanifold Complex space form Totally geodesic |
| Issue Date: | 2009 |
| Publisher: | Research India Publications |
| Citation: | Mathematics Applied in Science and Technology Volume 1, Number 1 (2009), pp. 75-80 |
| Abstract: | The geometry of anti-invariant submanifolds of a complex space form with positive definite metric was studied by Chen-Ogiue [2], Yano-Kon [6] and others. In this paper we study the geometry of indefinite anti-invariant submanifolds of an indefinite complex space. We found that if the submanifold is a timelike, spacelike or mixedlike totally geodesic then it is an Einstein submanifold. Moreover, if the submanifold is a proper indefinite anti- invariant Einstein submanifold then it is a totally geodesic submanifold of c constant curvature -. 4 |
| URI: | http://www.ripublication.com/Volume/mastv1n1.htm http://repository.seku.ac.ke/handle/123456789/1063 |
| Appears in Collections: | School of Science and Computing (JA) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Wali_Indefinite anti-invariant submanifolds of an indefinite complex space form.pdf | abstract | 463.32 kB | Adobe PDF |  View/Open |
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