Geodesic
Generalized Wintgen inequality for submanifolds in standard warped product manifolds
Filomat, Tome 36 (2022) no. 19, p. 6669

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DOI

Roth (Bull. Aust. Math. Soc. 95, 495-499 (2017)) gave a result for DDVV inequality submanifolds of warped product manifolds. Then Murathan et al. (J. Geom. (2018) 109:30) obtained the Wintgen-like inequality for statistical submanifolds of statistical warped product manifolds. Recently, Gorunus et al. (Inter. Elec. J. Geom. 12(1), 43-56 (2019)) established the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu statistical manifolds. Thus, in the present manuscript, we find the generalized Wintgen inequality for a Legendrian submanifold in the standard warped product manifolds (β-Kenmotsu manifold).
DOI : 10.2298/FIL2219669S
Classification : 53C42, 15A45
Keywords: Standard warped product manifolds, Legendrian submanifolds, β-Kenmotsu manifold, Generalized Wintgen inequality 
Aliya Naaz Siddiqui; Kamran Ahmad; Ali Hussain Alkhaldi; Lamia Saeed Alqahtani. Generalized Wintgen inequality for submanifolds in standard warped product manifolds. Filomat, Tome 36 (2022) no. 19, p. 6669 . doi: 10.2298/FIL2219669S
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     author = {Aliya Naaz Siddiqui and Kamran Ahmad and Ali Hussain Alkhaldi and Lamia Saeed Alqahtani},
     title = {Generalized {Wintgen} inequality for submanifolds in standard warped product manifolds},
     journal = {Filomat},
     pages = {6669 },
     year = {2022},
     volume = {36},
     number = {19},
     doi = {10.2298/FIL2219669S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2219669S/}
}
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