Publications de l'Institut Mathématique, Nouvelle Série Vol. 83(97), pp. 65–69 (2008) 

ON THE DIFFERENTIABILITY OF A DISTANCE FUNCTIONKwangSoon ParkSeoul National University, KoreaAbstract: Let $M$ be a simply connected complete Kähler manifold and $N$ a closed complete totally geodesic complex submanifold of $M$ such that every minimal geodesic in $N$ is minimal in $M$. Let $U_\nu$ be the unit normal bundle of $N$ in $M$. We prove that if a distance function $\rho$ is differentiable at $v\in U_\nu$, then $\rho$ is also differentiable at $v$. Keywords: distance function, differentiability, minimal geodesic Classification (MSC2000): 53C22; 53C55 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 21 Oct 2008. This page was last modified: 10 Dec 2008.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
