An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms |
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| Authors: | Ion Mihai Ileana Presură |
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| Affiliation: | 1.Department of Mathematics, Faculty of Mathematics and Computer Science,University of Bucharest,Bucharest,Romania;2.Faculty of Mathematics and Computer Science, Doctoral School in Mathematics,University of Bucharest,Bucharest,Romania |
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| Abstract: | Legendrian submanifolds in Sasakian space forms play an important role in contact geometry. Defever et al. (Boll Unione Mat Ital B 7(11):365–374, 1997) established the first Chen inequality for C-totally real submanifolds in Sasakian space forms. In this article, we improve this first Chen inequality for Legendrian submanifolds in Sasakian space forms. |
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