Chen inequalities for submanifolds of a cosymplectic space form with a semi-symmetric metric connection

In this paper, we prove Chen inequalities for submanifolds of a cosymplectic space form of constant φ-sectional curvature N2m+1(c) endowed with a semisymmetric metric connection, i.e., relations between the mean curvature associated with the semi-symmetric metric connection, scalar and sectional cur...

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Published inAnalele ştiinţifice ale Universitatii "Al. I. Cuza" din Iaşi. Secţiunea 1a: Matematicǎ Vol. 58; no. 2; pp. 395 - 408
Main Authors Özgür, Cihan, Murathan, Cengizhan
Format Journal Article
LanguageEnglish
Published Versita 01.01.2012
Subjects
Chen inequality
cosymplectic space form
Ricci curvature
semi-symmetric metric connection
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Summary:In this paper, we prove Chen inequalities for submanifolds of a cosymplectic space form of constant φ-sectional curvature N2m+1(c) endowed with a semisymmetric metric connection, i.e., relations between the mean curvature associated with the semi-symmetric metric connection, scalar and sectional curvatures, k-Ricci curvature and the sectional curvature of the ambient space.
Bibliography:v10157-012-0015-x.pdf
ark:/67375/QT4-XN115QP1-B
ArticleID:v10157-012-0015-x
istex:6EFF0E9FD2B4C7C885ABC8B6F37BC5ACFF8AFC4A
ISSN:1221-8421
2344-4967
DOI:10.2478/v10157-012-0015-x