Geodesic
Convexity of the Field of a Linear Transformation
Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 15-18

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Let Un be an n-dimensional unitary space with inner product In Un let Sn-1 denote the unit sphere: Let A be an arbitrary linear transformation of Un. 
Goldman, A. J.; Marcus, M. Convexity of the Field of a Linear Transformation. Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 15-18. doi: 10.4153/CMB-1959-004-7
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     title = {Convexity of the {Field} of a {Linear} {Transformation}},
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