Geometry of differential operators and odd Laplace operators
نویسندگان
چکیده
منابع مشابه
Geometry of Differential Operators, and Odd Laplace Operators
Let ∆ be an arbitrary linear differential operator of the second order acting on functions on a (super)manifold M . In local coordinates ∆ = 1 2 S ∂b∂a +T a ∂a +R. The principal symbol of ∆ is the symmetric tensor field S, or the quadratic function S = 1 2 Spbpa on T ∗M . The principal symbol can be understood as a symmetric “bracket” on functions: {f, g} := ∆(fg) − (∆f) g − (−1)f (∆g) + ∆(1) f...
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ژورنال
عنوان ژورنال: Russian Mathematical Surveys
سال: 2003
ISSN: 0036-0279,1468-4829
DOI: 10.1070/rm2003v058n01abeh000597