Geodesic
Convex Surfaces with Planar Polar Sets and Point-Source Shadow-Boundaries
Journal of convex analysis, Tome 24 (2017) no. 2, pp. 645-66
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Generalizing certain characteristic properties of ellipsoids, we describe all convex hypersurfaces in the n-dimensional real space, possibly unbounded, whose polar sets and point-source shadow-boundaries satisfy planarity conditions.
Classification : 52A20
Mots-clés : Body, convex, ellipsoid, polar set, quadric hypersurface, shadow-boundary, solid 
@article{JCA_2017_24_2_JCA_2017_24_2_a16,
     author = {V. Soltan},
     title = {Convex {Surfaces} with {Planar} {Polar} {Sets} and {Point-Source} {Shadow-Boundaries}},
     journal = {Journal of convex analysis},
     pages = {645--66},
     year = {2017},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a16/}
}
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V. Soltan. Convex Surfaces with Planar Polar Sets and Point-Source Shadow-Boundaries. Journal of convex analysis, Tome 24 (2017) no. 2, pp. 645-66. http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a16/