A01=Antonio Kumpera
A01=Donald Clayton Spencer
Adjoint representation
Affine transformation
Analytic function
Associative algebra
Author_Antonio Kumpera
Author_Donald Clayton Spencer
Automorphism
Big O notation
Category=PBF
Cauchy-Riemann equations
Coefficient
Complex conjugate
Complex group
Complex manifold
Cotangent bundle
Derivative
Diffeomorphism
Differentiable function
Differential form
Differential operator
Differential structure
Endomorphism
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Exactness
Existential quantification
Exponential function
Exponential map (Riemannian geometry)
Exterior derivative
Fiber bundle
Fibration
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
Groupoid
Holomorphic function
Homeomorphism
J-invariant
Jacobian matrix and determinant
Linear combination
Linear map
Manifold
Model category
Morphism
Nonlinear system
Open set
Parameter
Partial derivative
Partial differential equation
Pointwise
Presheaf (category theory)
Pseudo-differential operator
Pseudogroup
Riemann surface
Right inverse
Sheaf (mathematics)
Special case
Structure tensor
Subalgebra
Subcategory
Subgroup
Submanifold
Subset
Tangent bundle
Tangent space
Tangent vector
Tensor field
Tensor product
Theorem
Torsion tensor
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume element
Product details
- ISBN 9780691081113
- Weight: 454g
- Dimensions: 152 x 229mm
- Publication Date: 21 Oct 1972
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.
