caa a22 4500 388092114 CHVBK 20180307125254.0 cr unu---uuuuu 161130e199906 xx s 000 0 eng 10.1017/S0004972700033207 doi S0004972700033207 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700033207 The second variation formula for exponentially harmonic maps [Elektronische Daten] We derive the formula in the title and deduce some consequences. For example we show that the identity map from any compact manifold to itself is always stable as an exponentially harmonic map. This is in sharp contrast to the harmonic or p-harmonic cases where many such identity maps are unstable. We also prove that an isometric and totally geodesic immersion of Sm into Sn is an unstable exponentially harmonic map if m ≠ n and is a stable exponentially harmonic map if m = n. Copyright © Australian Mathematical Society 1999 Cheung Leung-Fu Department of Applied Mathematics Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong e-mail: matheclf@maun01.ma.polyu.edu.hk Leung Pui-Fai Department of Mathematics National University of Singapore Kent Ridge, Singapore 119260 e-mail: matfredl@leonis.nus.edu.sg Bulletin of the Australian Mathematical Society Cambridge University Press 59/3(1999-06), 509-514 0004-9727 59:3<509 1999 59 BAZ https://doi.org/10.1017/S0004972700033207 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700033207 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cheung Leung-Fu Department of Applied Mathematics Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong e-mail: matheclf@maun01.ma.polyu.edu.hk NATIONALLICENCE 700 1- Leung Pui-Fai Department of Mathematics National University of Singapore Kent Ridge, Singapore 119260 e-mail: matfredl@leonis.nus.edu.sg NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/3(1999-06), 509-514 0004-9727 59:3<509 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge