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On Parabolic Trigonometry in a Degenerate Minkowski Plane

✍ Scribed by R. S. Ingarden; L. Tamássy

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
378 KB
Volume
145
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abetract. A MINKOWSKI plane is oonsidered having a parabola as indicatrix curve and taking

for ita center the vertex of the parabola causing by this a degeneration of the MINKOWSKI geometry. After a short discussion of the concept of the length and angle, the trigonometrical functions of this geometry has been calculated and their basic properties explained. A two-parameter pseudogroup of generalized rotations has been found as an analogon of the LOBENTZ transformation group in specia 1 relativity. The theory has applications to thermodynamics.

📜 SIMILAR VOLUMES

A critical exponent in a degenerate para
A critical exponent in a degenerate parabolic equation
✍ Michael Winkler 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 1 views

## Abstract We consider positive solutions of the Cauchy problem in \documentclass{article}\usepackage{amsfonts}\begin{document}\pagestyle{empty}$\mathbb{R\,}^n$\end{document} for the equation $$u\_t=u^p\,\Delta u+u^q,\quad p\geq1,\; q\geq 1$$\nopagenumbers\end and show that concerning global so