Extrinsic geometry of strongly parabolic multidimensional submanifolds

Contents §1. Introduction §2. Affine classification of points of multidimensional surfaces2.1. Main results2.2. Proof of Theorem 2.1.12.3. Classification of points of 3-dimensional submanifolds §3. Strongly parabolic submanifolds3.1. Local structure of a strongly parabolic surface in Riemannian space3.2. Local structure of a strongly parabolic surface in Euclidean space3.3. Complete strongly parabolic multidimensional surfaces in Euclidean space3.4. Conditions under which complete strongly parabolic submanifolds in spherical space are totally geodesic3.5. Strongly parabolic submanifolds in Lobachevskii space3.6. Strongly parabolic submanifolds in pseudo-Euclidean and pseudo-Riemannian spaces of constant curvature3.7. Strongly parabolic submanifolds and minimal surfaces Bibliography

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