کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1894106 1044139 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost complex structures on cotangent bundles and generalized geometry
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Almost complex structures on cotangent bundles and generalized geometry
چکیده انگلیسی

We study a class of complex structures on the generalized tangent bundle of a smooth manifold MM endowed with a torsion free linear connection, ∇∇. We introduce the concept of ∇∇-integrability and we study integrability conditions. In the case of the generalized complex structures introduced by Hitchin (2003) in [2], we compare the two concepts of integrability. Moreover, as an application, we describe almost complex structures on the cotangent bundle of MM induced by complex structures on the generalized tangent bundle of MM.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 60, Issue 11, November 2010, Pages 1781–1791
نویسندگان
,