کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1843159 | 1031516 | 2006 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Geometry of manifolds with area metric: Multi-metric backgrounds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Geometry of manifolds with area metric: Multi-metric backgrounds Geometry of manifolds with area metric: Multi-metric backgrounds](/preview/png/1843159.png)
چکیده انگلیسی
We construct the differential geometry of smooth manifolds equipped with an algebraic curvature map acting as an area measure. Area metric geometry provides a spacetime structure suitable for the discussion of gauge theories and strings, and is considerably more general than Lorentzian geometry. Our construction of geometrically relevant objects, such as an area metric compatible connection and derived tensors, makes essential use of a decomposition theorem due to Gilkey, whereby we generate the area metric from a finite collection of metrics. Employing curvature invariants for multi-metric backgrounds we devise a class of gravity theories with inherently stringy character, and discuss gauge matter actions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 747, Issue 3, 24 July 2006, Pages 398–422
Journal: Nuclear Physics B - Volume 747, Issue 3, 24 July 2006, Pages 398–422
نویسندگان
Frederic P. Schuller, Mattias N.R. Wohlfarth,