Abstract
In the present short note, we shall show a trick by which we can treat maximally over-determined systems of linear partial differential equations as if they are linear ordinary equations. Using this trick, we define fundamental systems of differential semi-invariants which are generalizations of schwarzians and useful in geometry.
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References
Iitaka, S.: Symmetric forms and Weierstrass cycles. Proc. Japan Acad. 54 (1978).
Iitaka, S.: Duality theorems for symmetric differential forms. Proc. Japan Acad. 55 (1979).
Wilczymski, E.J.: Projective Differential Geometry of Curves and Ruled Surfaces. Chelsea (1961).
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© 1981 Springer Basel AG
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Morikawa, H. (1981). On Fundamental Systems of Differential Semi-Invariants in Several Variables. In: Butzer, P.L., Fehér, F. (eds) E. B. Christoffel. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5452-8_28
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DOI: https://doi.org/10.1007/978-3-0348-5452-8_28
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5453-5
Online ISBN: 978-3-0348-5452-8
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