کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10735019 1044218 2005 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Walker 4-manifolds with proper almost complex structures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Walker 4-manifolds with proper almost complex structures
چکیده انگلیسی
It is shown that a Walker 4-manifold, endowed with a canonical neutral metric depending on three arbitrary functions, admits a specific almost complex structure (called proper) and an associated opposite almost complex structure. We study when these two almost complex structures are integrable and when the corresponding Kähler forms are symplectic. The conditions for the canonical neutral metric to be Kähler imply that the three arbitrary functions in the metric are all harmonic with respect to two coordinate variables, and we obtain a useful method of constructing indefinite Kähler 4-manifolds. Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of this construction.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 55, Issue 4, December 2005, Pages 385-398
نویسندگان
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