Geodesic
Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection
Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 611-622

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DOI

In this paper we prove Chen inequalities for submanifolds of real space forms endowed with a semi-symmetric non-metric connection, i.e., relations between the mean curvature associated with a semi-symmetric non-metric connection, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space. The equality cases are considered.
DOI : 10.4153/CMB-2011-108-1
Mots-clés : 53C40, 53B05, 53B15, real space form, semi-symmetric non-metric connection, Ricci curvature 
Özgür, Cihan; Mihai, Adela. Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 611-622. doi: 10.4153/CMB-2011-108-1
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     title = {Chen {Inequalities} for {Submanifolds} of {Real} {Space} {Forms} with a {Semi-Symmetric} {Non-Metric} {Connection}},
     journal = {Canadian mathematical bulletin},
     pages = {611--622},
     year = {2012},
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     doi = {10.4153/CMB-2011-108-1},
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