Geodesic
On special quadratic maps
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 73-76

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Sufficient conditions for the image of the unit ball of Euclidean space by quadratic map to be convex are given. 
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     author = {L. N. Dovbysh},
     title = {On special quadratic maps},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {1983},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a8/}
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L. N. Dovbysh. On special quadratic maps. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 73-76. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a8/