کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898994 1044817 2006 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hyper-parahermitian manifolds with torsion
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Hyper-parahermitian manifolds with torsion
چکیده انگلیسی
Necessary and sufficient conditions for the existence of a hyper-parahermitian connection with totally skew-symmetric torsion (HPKT-structure) are presented. It is shown that any HPKT-structure is locally generated by a real (potential) function. An invariant first order differential operator is defined on any almost hyper-paracomplex manifold showing that it is two-step nilpotent exactly when the almost hyper-paracomplex structure is integrable. A local HPKT-potential is expressed in terms of this operator. Examples of (locally) invariant HPKT-structures with closed as well as non-closed torsion 3-form on a class of (locally) homogeneous hyper-paracomplex manifolds (some of them compact) are constructed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 56, Issue 4, April 2006, Pages 670-690
نویسندگان
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