期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203202027
出版社：Hindawi Publishing Corporation
摘要：For submanifolds tangent to the structure vector field in
cosymplectic space forms, we establish a basic inequality between
the main intrinsic invariants of the submanifold, namely, its
sectional curvature and scalar curvature on one side; and its
main extrinsic invariant, namely, squared mean curvature on the
other side. Some applications, including inequalities between the
intrinsic invariant δM and the squared mean curvature,
are given. The equality cases are also discussed.
