1Dept. of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A. 2Dept. of Mathematics, Kyungpook National University, Taegu 702-701, South Korea
Journal of Lie Theory, Tome 20 (2010) no. 4, pp. 665-672
We derive a Lie-Trotter formula for general Riemannian manifolds based on the local existence of a midpoint operation and given in terms of that operation. As a corollary one obtains that continuous maps between Riemannian manifolds that preserve the local midpoint structure are smooth. In particular, this is true for (local) isometries.
1
Dept. of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A.
2
Dept. of Mathematics, Kyungpook National University, Taegu 702-701, South Korea
Jimmie Lawson; Yongdo Lim. A Lie-Trotter Formula for Riemannian Manifolds and Applications. Journal of Lie Theory, Tome 20 (2010) no. 4, pp. 665-672. http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a2/
@article{JOLT_2010_20_4_a2,
author = {Jimmie Lawson and Yongdo Lim},
title = {A {Lie-Trotter} {Formula} for {Riemannian} {Manifolds} and {Applications}},
journal = {Journal of Lie Theory},
pages = {665--672},
year = {2010},
volume = {20},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a2/}
}
TY - JOUR
AU - Jimmie Lawson
AU - Yongdo Lim
TI - A Lie-Trotter Formula for Riemannian Manifolds and Applications
JO - Journal of Lie Theory
PY - 2010
SP - 665
EP - 672
VL - 20
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a2/
ID - JOLT_2010_20_4_a2
ER -
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%T A Lie-Trotter Formula for Riemannian Manifolds and Applications
%J Journal of Lie Theory
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%P 665-672
%V 20
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a2/
%F JOLT_2010_20_4_a2
