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

Martha P. Dussan; Nikos Georgiou; Martin Magid

doi:10.2996/kmj/kmj45108

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

Martha P. Dussan, Nikos Georgiou, Martin Magid

Department of Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate minimal surfaces in products of two-spheres S²p x^S2p, with the neutral metric given by (g; g). Here S²p^{R 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.

Original language	English
Pages (from-to)	117-142
Number of pages	26
Journal	Kodai Mathematical Journal
Volume	45
Issue number	1
DOIs	https://doi.org/10.2996/kmj/kmj45108
Publication status	Published - Mar 2022

Keywords

minimal surfaces
neutral metrics
Product of 2-real space forms
totally geodesic surfaces

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10.2996/kmj/kmj45108

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

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Keywords

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