Science/Engineering The theory of Lie derivatives and its applications (0720421047)

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The theory of Lie derivatives and its applications (Bibliotheca mathematica, a series of monographs on pure and applied mathematics Volume III): Kentaro Yano

In 1931, W. Slebodzinski introduced a new differential operator, later called by D. van Dantzig that of Lie derivation, which can be applied to scalars, vectors, tensors and affine connexions and which proved to be a powerful instrument in the study of groups of automorphisms. Using this operator, D. van Dantzig showed that his w-dimensional projective space described by n + 1 homogeneous curvilinear coordinates can be regarded as an (n + 1)-dimensional space with a linear connexion which admits a one-parameter group of affine motions. He applied also the idea of Lie derivation to physics.

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