Abstract
In 1999, Smet et al. conjectured the generalized Wintgen inequality for submanifolds in real space forms. The commonly name used for this conjecture is DDVV conjecture proved independently by Ge and Tang (2008) and Lu (2011). Mihai Proved the Wintgen inequality for lagrangian and Legendrian submanifolds in complex space forms and Sasakian space forms in 2014 and 2017 respectively. In the present paper, we proved the same inequality for Legendrian submanifolds of Sasakian statistical manifolds.
Supported by NIT Srinagar.
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Boyom, M.N., Jabeen, Z., Lone, M.A., Lone, M.S., Shahid, M.H. (2019). Generalized Wintgen Inquality for Legendrian Submanifolds in Sasakian Statistical Manifolds. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2019. Lecture Notes in Computer Science(), vol 11712. Springer, Cham. https://doi.org/10.1007/978-3-030-26980-7_42
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DOI: https://doi.org/10.1007/978-3-030-26980-7_42
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