Abstract
A submanifold of a Riemannian manifold is called reflective, if it is a connected component of an involutive isometry. If every shortest geodesic arc of a complete submanifold is still shortest in the ambient space, we say that the submanifold is convex. In this note we show that reflective submanifolds in special unitary groups are convex.
Citation
Felix PLATZER. Peter QUAST. "Convexity of Reflective Submanifolds in Special Unitary Groups." Tokyo J. Math. 37 (2) 529 - 536, December 2014. https://doi.org/10.3836/tjm/1422452808