کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668600 1633885 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Submersions of generic submanifolds of a Kaehler manifold
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Submersions of generic submanifolds of a Kaehler manifold
چکیده انگلیسی

Kobayashi has shown that for the submersion π:M→Bπ:M→B of a CR  -submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold. Since generic submanifolds are more general class of CR-submanifolds, in this present article we study the submersions of generic submanifolds M   of a Kaehler manifold M¯ onto an almost Hermitian manifold B and prove that B   is necessarily a Kaehler manifold in this case too. We also obtain the decomposition theorems for such submersions and derive the relation between the holomorphic sectional curvatures of M¯ restricted to DD and that of B. Also the geometry of fibres is discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Arab Journal of Mathematical Sciences - Volume 20, Issue 1, January 2014, Pages 119–131
نویسندگان
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