On the Jager-Kaul theorem concerning harmonic maps

In 1983, Jager and Kaul proved that the equator map u*(x) = (x/\x\,0) : B-n --> S-n is unstable for 3 less than or equal to n less than or equal to 6 and a minimizer for the energy functional E(u, B-n) = integral B-n \del u\(2) dx in the class H-1,H-2(B-n, S-n) with u = u* on partial derivative B-n when n greater than or equal to 7. In this paper, we give a new and elementary proof of this Jager-Kaul result. We also generalize the Jager-Kaul result to the case of p-harmonic maps.

A retrospective analysis of leadership development through sport

The purpose of this study was to examine the development of six leader-athletes. In-depth qualitative interviews were used to explore the various activities that leader athletes engaged in from an early age as well as the roles and influences that peers, coaches, and parents played within these activities. Results indicated that leadership development in sport focused on developing four central components: high skill, strong work ethic, enriched cognitive sport knowledge, and good rapport with people. The types of activities engaged in throughout development as well as receiving feedback, acknowledgement, support, cognitive engagement, mature conversations with adults, and physical encounters with older peers are important social influences that can play an instrumental role in the formation of these four central tenets.