Selected Publications

John Douglas Moore


On the left, at the Great Wall near

Beijing in 2002. On the right, playing

Chopin in the summer of 2007.



1971 "Isometric immersions of Riemannian products", J. Differential Geometry v. 5, pp. 159--168.
1972 "Isometric immersions of space forms in space forms", Pacific J. Math. v. 40, pp. 157--166.
1977 "Conformally flat submanifolds of Euclidean space", Math. Ann. v. 225, pp. 89--97.
1977 "Submanifolds of constant positive curvature I", Duke Math. J. v. 44, pp. 449--484.
1978 "Codimension two submanifolds of positive curvature", Proc. Amer. Math. Soc. v. 70, pp. 72--74.
1980 "On equivariant isometric embeddings" (with Roger Schlafly), Math. Z. v. 173, pp. 125--141.
1985 "On stability of minimal spheres and a two-dimensional version of Synge's theorem", Arch. Math. v. 44, pp. 278--281.
1988 "Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes" (with Mario Micallef), Annals of Math. v. 127, pp. 199--227.
1990 "On the number of minimal two-spheres of small area in manifolds with curvature bounded above", Math. Ann. v. 288, pp. 323--343.
1996 "On extendability of isometric immersions of spheres", Duke Math. J. v. 85, pp. 685--699.
2001 "Lectures on Seiberg-Witten invariants", second edition, Springer, New York.
2002 "Euler characters and submanifolds of constant positive curvature", Trans. Amer. Math. Soc. v. 354, pp. 3815--3834.
2006 "Bumpy metrics and closed parametrized minimal surfaces in Riemannian manifolds", Trans. Amer. Math. Soc. v. 358, pp. 5193--5256.
2007 "Nondegeneracy of coverings of minimal tori and Klein bottles in Riemannian manifolds", Pacific J. Math. v. 230, pp. 147--166.
2017 "Introduction to global analysis: minimal surfaces in Riemannian manifolds", Graduate Studies in Mathematics no. 187, Amer. Math. Soc., Providence, RI.
2019 "Minimal two-spheres of low index in manifolds with positive complex sectional curvatures" (with Robert Ream), Math. Z. v. 291, pp. 1295--1335.
2021 "Self-intersections of closed parametrized minimal surfaces in generic Riemannian manifolds", Ann. Global Anal. Geom., v. 60, pp. 157--165.

PREPRINTS IN PDF FORMAT

2007 "Energy growth in minimal surface bubbles", unpublished manuscript.