کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606212 1337689 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Abelian Hermitian geometry
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Abelian Hermitian geometry
چکیده انگلیسی

We study the structure of Lie groups admitting left invariant abelian complex structures in terms of commutative associative algebras. If, in addition, the Lie group is equipped with a left invariant Hermitian structure, it turns out that such a Hermitian structure is Kähler if and only if the Lie group is the direct product of several copies of the real hyperbolic plane by a Euclidean factor. Moreover, we show that if a left invariant Hermitian metric on a Lie group with an abelian complex structure has flat first canonical connection, then the Lie group is abelian.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 30, Issue 5, October 2012, Pages 509–519
نویسندگان
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