MINIMAL SURFACES IN THE PRODUCT OF TWO DIMENSIONAL REAL SPACE FORMS ENDOWED WITH A NEUTRAL METRIC

Dussan, Martha P. and Georgiou, Nikos and Magid, Martin (2022) MINIMAL SURFACES IN THE PRODUCT OF TWO DIMENSIONAL REAL SPACE FORMS ENDOWED WITH A NEUTRAL METRIC. Kodai Mathematical Journal, 45 (1). pp. 117-142. ISSN 0386-5991

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Abstract

We investigate minimal surfaces in products of two-spheres S2p xS2p, with the neutral metric given by (g; g). Here S2pR p; 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.

Item Type: Article
Additional Information: Publisher Copyright: © 2022, Tokyo Institute of Technology. All rights reserved.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:13
Last Modified: 07 Jun 2023 18:47
URI: http://repository-testing.wit.ie/id/eprint/4705

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