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An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms

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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… Click to show full 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.

Keywords: submanifolds sasakian; legendrian submanifolds; sasakian space; first chen; space forms

Journal Title: Periodica Mathematica Hungarica
Year Published: 2017

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