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Invariant theory of the differential geometry of contact transformations

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LeeHC_1937redux.pdf (7.733Mb)
Date
1937
Author
Lee, Hwa-Chung
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Abstract
 
 
Corresponding to the group of all analytic transformations there is a differential geometry of what is called the affinely connected space, which is a generalization of the ordinary affine geometry in the sense of Klein. If the transformation functions of this group are all homogeneous of degree one with respect to their arguments, we have the generalized projective group, the corresponding geometry being Schouten's projective differential geometry *) . Similarly a conformal differential geometry is now being developed t) on the basis of the group of all conformal transformations in an underlying Riemannian space.
 
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http://hdl.handle.net/1842/32496
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  • Mathematics thesis and dissertation collection

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