International Workshop on Geometry and Interfaces
J. Phys. Colloques 51 (1990) C7-197-C7-208
DOI: 10.1051/jphyscol:1990720
SOME BASIC FACTS, OLD AND NEW, ABOUT TRIPLY PERIODIC EMBEDDED MINIMAL SURFACES
D. A. HOFFMANDepartment of Mathematics, University of Massachusetts, Amherst MA 01003, U.S.A.
Résumé
Parmi les surfaces plongées triplement périodiques, celles qui sont minimales ont des propriétés particulières très rigides. Ceci sera illustré, à titre d'exemple, dans le cas des surfaces de genre 3 par l'étude de leurs symétries.
Abstract
Among embedded triply-periodic surfaces, the minimal ones have very rigid properties that are not shared by others in the class. We will illustrate this by studying their symmetries in the case of genus equal to three.
© EDP Sciences 1990