Open Access
March 2019 Projective classification of jets of surfaces in 4-space
Jorge Luiz Deolindo Silva, Yutaro Kabata
Hiroshima Math. J. 49(1): 35-46 (March 2019). DOI: 10.32917/hmj/1554516037

Abstract

We classify jets of Monge forms of generic surfaces in 4-space via projective transformations, which is an extension of Platonova’s result for surfaces in 3-space.

Citation

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Jorge Luiz Deolindo Silva. Yutaro Kabata. "Projective classification of jets of surfaces in 4-space." Hiroshima Math. J. 49 (1) 35 - 46, March 2019. https://doi.org/10.32917/hmj/1554516037

Information

Received: 25 July 2017; Revised: 18 July 2018; Published: March 2019
First available in Project Euclid: 6 April 2019

zbMATH: 07090063
MathSciNet: MR3936647
Digital Object Identifier: 10.32917/hmj/1554516037

Subjects:
Primary: 53A20
Secondary: 58K05

Keywords: projection of surfaces , projective differential geometry , singularities of smooth maps , surfaces in 4-space

Rights: Copyright © 2019 Hiroshima University, Mathematics Program

Vol.49 • No. 1 • March 2019
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