Motion Pictures

  • Seiichi KamadaEmail author
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter we regard \({\mathbb R}^4\) as the product of \({\mathbb R}^3\) and \({\mathbb R}\) and let
$$\mathrm{pr}: {\mathbb R}^4 = {\mathbb R}^3 \times {\mathbb R}\rightarrow {\mathbb R}^3 \quad \text{ and } \quad \mathrm{pr'}: {\mathbb R}^4 = {\mathbb R}^3 \times {\mathbb R}\rightarrow {\mathbb R}$$
be the projections.

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© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Graduate School of ScienceOsaka City UniversityOsakaJapan

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