naa a22 4500 510783082 CHVBK 20180411083253.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s11856-012-0168-z doi (NATIONALLICENCE)springer-10.1007/s11856-012-0168-z Barthelmé Thomas Institut de Mathématiques, Université de Neuchâtel, Rue Emile-Argand 11, 2000, Neuchâtel, Switzerland aut A natural Finsler-Laplace operator [Elektronische Daten] [Thomas Barthelmé] We give a new definition of a Laplace operator for Finsler metric as an average with regard to an angle measure of the second directional derivatives. This definition uses a dynamical approach due to Foulon that does not require the use of connections or local coordinates. We give explicit representations and computations of spectral data for this operator in the case of Katok-Ziller metrics on the sphere and the torus. Hebrew University Magnes Press, 2013 Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 375-412 0021-2172 196:1<375 2013 196 11856 https://doi.org/10.1007/s11856-012-0168-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0168-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Barthelmé Thomas Institut de Mathématiques, Université de Neuchâtel, Rue Emile-Argand 11, 2000, Neuchâtel, Switzerland aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 375-412 0021-2172 196:1<375 2013 196 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer