کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416927 | 1337679 | 2013 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cocalibrated G2-structures on products of four- and three-dimensional Lie groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Cocalibrated G2-structures are structures naturally induced on hypersurfaces in Spin(7)-manifolds. Conversely, one may start with a seven-dimensional manifold M endowed with a cocalibrated G2-structure and construct via the Hitchin flow a Spin(7)-manifold which contains M as a hypersurface. In this article, we consider left-invariant cocalibrated G2-structures on Lie groups G which are a direct product G=G4ÃG3 of a four-dimensional Lie group G4 and a three-dimensional Lie group G3. We achieve a full classification of the Lie groups G=G4ÃG3 which admit a left-invariant cocalibrated G2-structure.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 31, Issue 3, June 2013, Pages 349-373
Journal: Differential Geometry and its Applications - Volume 31, Issue 3, June 2013, Pages 349-373
نویسندگان
Marco Freibert,