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March 2017 On prolongations of second-order regular overdetermined systems with two independent and one dependent variables
Takahiro Noda
Hiroshima Math. J. 47(1): 63-86 (March 2017). DOI: 10.32917/hmj/1492048848

Abstract

The purpose of this paper is to investigate the geometric structure of regular overdetermined systems of second order with two independent and one dependent variables from the point of view of the rank two prolongation. Utilizing this prolongation, we characterize the type of overdetermined systems and clarify the specificity for each type. We also give systematic methods for constructing the geometric singular solutions by analyzing a decomposition of this prolongation. As an application, we determine the geometric singular solutions of Cartan’s overdetermined system.

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Takahiro Noda. "On prolongations of second-order regular overdetermined systems with two independent and one dependent variables." Hiroshima Math. J. 47 (1) 63 - 86, March 2017. https://doi.org/10.32917/hmj/1492048848

Information

Received: 17 September 2013; Revised: 12 November 2016; Published: March 2017
First available in Project Euclid: 13 April 2017

zbMATH: 1373.35205
MathSciNet: MR3634262
Digital Object Identifier: 10.32917/hmj/1492048848

Subjects:
Primary: 58A15
Secondary: 58A17

Rights: Copyright © 2017 Hiroshima University, Mathematics Program

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Vol.47 • No. 1 • March 2017
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