کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606136 | 1337684 | 2013 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lagrangian distributions and connections in multisymplectic and polysymplectic geometry
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We discuss the interplay between lagrangian distributions and connections in (generalized) symplectic geometry, beginning with the traditional case of symplectic manifolds and then passing to the more general context of poly- and multisymplectic structures on fiber bundles, which is relevant for the covariant hamiltonian formulation of classical field theory. In particular, we generalize Weinsteinʼs tubular neighborhood theorem for symplectic manifolds carrying a (simple) lagrangian foliation to this situation. In all cases, the Bott connection, or an appropriately extended version thereof, plays a central role.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 31, Issue 6, December 2013, Pages 775–807
Journal: Differential Geometry and its Applications - Volume 31, Issue 6, December 2013, Pages 775–807
نویسندگان
Michael Forger, Sandra Z. Yepes,