Strictly Convex Submanifolds and Hypersurfaces of Positive Curvature
Ghomi, Mohammad
J. Differential Geom., Tome 57 (2001) no. 2, p. 239-271 / Harvested from Project Euclid
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We construct smooth closed hypersurfaces of positive curvature with prescribed submanifolds and tangent planes. Further, we develop some applications to boundary value problems via Monge-Ampére equations, smoothing of convex polytopes, and an extension of Hadamard's ovaloid theorem to hypersurfaces with boundary.
Publié le : 2001-02-14
Classification:  
@article{1090348111,
     author = {Ghomi, Mohammad},
     title = {Strictly Convex Submanifolds and Hypersurfaces of Positive Curvature},
     journal = {J. Differential Geom.},
     volume = {57},
     number = {2},
     year = {2001},
     pages = { 239-271},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090348111}
}

Ghomi, Mohammad. Strictly Convex Submanifolds and Hypersurfaces of Positive Curvature. J. Differential Geom., Tome 57 (2001) no. 2, pp.  239-271. http://gdmltest.u-ga.fr/item/1090348111/