Geometric quantities associated to differential operators
نویسندگان
چکیده
منابع مشابه
Geometric Quantities Associated to Differential Operators
Denote by Fλ the space of fields of tensor densities of weight −λ over a manifold M . The space D λ,μ of differential operators of order at most p that map Fλ onto Fμ are modules over the Lie algebra of vector fields Vect(M). We compute all the Vect(M)-invariant mappings from D λ,μ onto Fν .
متن کاملConsistent Approximations of Some Geometric Differential Operators
The numerical integration of many geometric partial differential equations involve discrete approximations of some differential geometric operators. In this paper, we consider consistent discretized approximations of these operators based on a quadratic fitting scheme. Asymptotic error analysis on the quadratic fitting are conducted. The experiments show that the proposed approach is effective.
متن کاملSet Quantities and Tauberian Operators
The concept of convexity plays an important role in the classical geometry of normed spaces and it is frequently used in several branches of nonlinear analysis. In recent years some papers that contain generalizations of the concept of convexity with the help of the measures of noncompactness have appeared. The Tauberian operators were introduced by Kalton and Wilansky (1976) and they appear in...
متن کاملConsistent Approximations of Some Geometric Differential Operators and Their Convergences
The numerical integration of many geometric partial differential equations involves discrete approximations of several firstand second-order geometric differential operators. In this paper, we consider consistent discretized approximations of these operators based on a quadratic fitting scheme. An asymptotic error analysis is conducted which shows that the discrete approximations of the firstan...
متن کاملDifferential-geometric and Topological Structure of Multidimensional Delsarte Transmutation Operators
A differential geometrical and topological structure of Delsarte transmutation operators in multidimension is studied, the relationships with De Rham-Hodge-Skrypnik theory of generalized differential complexes is stated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2000
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870008826853