کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591584 | 1335038 | 2010 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Yang–Mills functional and Laplace's equation on quantum Heisenberg manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Yang–Mills functional and Laplace's equation on quantum Heisenberg manifolds The Yang–Mills functional and Laplace's equation on quantum Heisenberg manifolds](/preview/png/4591584.png)
چکیده انگلیسی
In this paper, we discuss the Yang–Mills functional and a certain family of its critical points on quantum Heisenberg manifolds using noncommutative geometrical methods developed by A. Connes and M. Rieffel. In our main result, we construct a certain family of connections on a projective module over a quantum Heisenberg manifold that gives rise to critical points of the Yang–Mills functional. Moreover, we show that there is a relationship between this particular family of critical points of the Yang–Mills functional and Laplace's equation on multiplication-type, skew-symmetric elements of quantum Heisenberg manifolds; recall that Laplacian is the leading term for the coupled set of equations making up the Yang–Mills equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 258, Issue 1, 1 January 2010, Pages 307-327
Journal: Journal of Functional Analysis - Volume 258, Issue 1, 1 January 2010, Pages 307-327