DOUBLES OF KLEIN SURFACES

Antonio F. Costa, Wendy Hall, David Singerman

Type: Article

Publication Date: 2012-03-30

Citations: 1

DOI: https://doi.org/10.1017/s0017089512000109

Abstract

Historical note. A non-orientable surface of genus 2 (meaning 2 cross-caps) is popularly known as the Klein bottle. However, the term Klein surface comes from Felix Klein's book “On Riemann's Theory of Algebraic Functions and their Integrals” (1882) where he introduced such surfaces in the final chapter.

Locations

Glasgow Mathematical Journal - View - PDF

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Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	The double of the doubles of Klein surfaces	2017	Antonio F. Costa Paola Cristofori Ana M. Porto

Works Cited by This (8)

Action	Title	Year	Authors
+	Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach	1990	E. Bujalance José Javier Etayo Gordejuela J. M. Gamboa Grzegorz Gromadzki
+	Foundations of the theory of Klein surfaces	1971	Norman L. Alling Newcomb Greenleaf
+	Automorphisms and coverings of Klein surfaces	1977	Wendy Hall
+	Involutions of compact Klein surfaces	1992	E. Bujalance Antonio F. Costa S. M. Natanzon David Singerman
+	On the structure of non-Euclidean crystallographic groups	1974	David Singerman
+	The orientability of subgroups of plane groups	1982	A. H. M. Hoare David Singerman
+ PDF Chat	Foundations of the Theory of Klein Surfaces	1971	Norman L. Alling Newcomb Greenleaf
+ PDF Chat	Automorphism Groups of Compact Bordered Klein Surfaces	1990	E. Bujalance J. J. Etayo J. M. Gamboa Grzegorz Gromadzki