Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric
Martha P. DussanNikos GeorgiouMartin Magid
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2022 Volume 45 Issue 1 Pages 117-142

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Abstract

We investigate minimal surfaces in products of two-spheres Sp2×Sp2, with the neutral metric given by (g,-g). Here Sp2Rp,3-p, and g is the induced metric on the sphere. We compute all totally geodesic surfaces and we give a relation between minimal surfaces and the solutions of the Gordon equations. Finally, in some cases we give a topological classification of compact minimal surfaces.

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