GAUGE-FIELDS ASSOCIATED WITH MINIMAL-SURFACES AND THEIR HOPF INVARIANTS

Authors
MARTINEZ JC
Citation
Jc. Martinez, GAUGE-FIELDS ASSOCIATED WITH MINIMAL-SURFACES AND THEIR HOPF INVARIANTS, Journal of physics. A, mathematical and general (Print), 31(45), 1998, pp. 743-749
Citations number
10
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general (Print) → ACNP
ISSN journal
03054470
Volume
31
Issue
45
Year of publication
1998
Pages
743 - 749
Database
ISI
SICI code
0305-4470(1998)31:45<743:GAWMAT>2.0.ZU;2-Y
Abstract
We study gauge fields described by an (n - 1)-form alpha in a (2n - 1) -dimensional Riemannian manifold satisfying the equations d alpha = 0, L(X)alpha = dh. We show that minimal surfaces may be associated wit h them that have a unique Hopf invariant. Some of these surfaces are s table but the issue is not settled completely.