Certain QR-submanifolds of maximal QR-dimension in a quaternionic space form
نویسندگان
چکیده
The purpose of this paper is to study n-dimensional QRsubmanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form and to classify such submanifolds under certain conditions concerning the second fundamental form and the induced almost contact 3-structure. M.S.C. 2010: 53C40, 53C25.
منابع مشابه
QR-Dimension in a Quaternionic Projective Space QP under Some Curvature Conditions
at each point x in M, then M is called a QR-submanifold of r QR-dimension, where ] denotes the complementary orthogonal distribution to ] in TM (cf. [1–3]). Real hypersurfaces, which are typical examples of QR-submanifold with r = 0, have been investigated by many authors (cf. [2–9]) in connection with the shape operator and the induced almost contact 3-structure (for definition, see [10–13]). ...
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تاریخ انتشار 2013