کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893629 1044100 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adapted connections on metric contact manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Adapted connections on metric contact manifolds
چکیده انگلیسی

In this paper, we describe the space of adapted connections on a metric contact manifold through the space of their torsion tensors. The torsion tensor is an element of the space of TMTM-valued two-forms which splits into various subspaces. We study the parts of the torsion tensor according to this splitting to completely describe the space of adapted connections. We use this description to obtain characterizations of the generalized Tanaka–Webster connection and to describe adapted connections whose Dirac operators are essentially self-adjoint. Finally, Schrödinger–Lichnerowicz-type formulae are provided for these operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 11, November 2012, Pages 2170–2187
نویسندگان
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