Mean-curvature normal and dual-string models
David E. Betounes · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1986
This paper illustrates the geometrical features underlying the minimal submanifold equations derived in a paper by Kobayashi (and others). The emphasis is on the importance of the mean-curvature normal \ensuremath{\mu} in the theory. The paper surveys the properties of \ensuremath{\mu} and its relation to the second fundamental form, the Weingarten map, and principal curvatures. The value of \ensuremath{\mu} for the theoretical physics comes from the observation that its role in the field equations for dual-string models of hadrons is analogous to that of the Ricci-Einstein tensor in the gravitational field equations.