John Douglas Moore scite author profile

Let M be a connected ^-dimensional space form isometrically immersed in a simply connected (2w-l)-dimensional space form of strictly larger curvature. If M is minimal, it is proven that it must be a piece of the flat Clifford torus in the (2w-l)-sphere. If M is complete and simply connected, it is proven that M possesses a global coordinate system whose coordinate vectors are unit-length asymptotic vectors.

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John Douglas Moore

Minimal Two-Spheres and the Topology of Manifolds with Positive Curvature on Totally Isotropic Two-Planes

Global analysis of the Seiberg-Witten equations

Isometric immersions of riemannian products

Submanifolds of constant positive curvature I

Isometric immersions of space forms in space forms

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