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Some remarks on duality in $S^3$

100%

Porteous I. R.

Banach Center Publications

1999

tom 50

nr 1

217-226

In this paper we review some of the concepts and results of V. I. Arnol'd [1] for curves in $S^2$ and extend them to curves and surfaces in $S^3$.

A tutorial on conformal groups

100%

Porteous I. R.

Banach Center Publications

1996

tom 37

nr 1

137-150

Our concern is with the group of conformal transformations of a finite-dimensional real quadratic space of signature (p,q), that is one that is isomorphic to $ℝ^{p,q}$, the real vector space $ℝ^{p+q}$, furnished with the quadratic form $x^{(2)} = x · x = -x_{1}^{2} - x_{2}^{2} - ... - x_{p}^{2} + x_{p+1}^{2} + ... + x_{p+q}^{2}$, and especially with a description of this group that involves Clifford algebras.

Ograniczanie wyników

2 Banach Center Publications

2 Porteous I. R.

1 1999

1 1996

Wyniki wyszukiwania

Some remarks on duality in $S^3$

A tutorial on conformal groups