On isotropic Berwald metrics

Akbar Tayebi, and Behzad Najafi. "On isotropic Berwald metrics." Annales Polonici Mathematici 103.2 (2012): 109-121. <http://eudml.org/doc/280249>.

@article{AkbarTayebi2012,
abstract = {We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes of isotropic Berwald metrics.},
author = {Akbar Tayebi, Behzad Najafi},
journal = {Annales Polonici Mathematici},
keywords = {isotropic Berwald metric; Randers metric},
language = {eng},
number = {2},
pages = {109-121},
title = {On isotropic Berwald metrics},
url = {http://eudml.org/doc/280249},
volume = {103},
year = {2012},
}

TY - JOUR
AU - Akbar Tayebi
AU - Behzad Najafi
TI - On isotropic Berwald metrics
JO - Annales Polonici Mathematici
PY - 2012
VL - 103
IS - 2
SP - 109
EP - 121
AB - We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes of isotropic Berwald metrics.
LA - eng
KW - isotropic Berwald metric; Randers metric
UR - http://eudml.org/doc/280249
ER -