caa a22 4500 605461724 CHVBK 20210128100244.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10114-015-3418-2 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3418-2 On generalized Douglas-Weyl ( α , β )-metrics [Elektronische Daten] [Akbar Tayebi, Hassan Sadeghi] In this paper, we study generalized Douglas-Weyl (α, β)-metrics. Suppose that a regular (α, β)-metric F is not of Randers type. We prove that F is a generalized Douglas-Weyl metric with vanishing S-curvature if and only if it is a Berwald metric. Moreover, by ignoring the regularity, if F is not a Berwald metric, then we find a family of almost regular Finsler metrics which is not Douglas nor Weyl. As its application, we show that generalized Douglas-Weyl square metric or Matsumoto metric with isotropic mean Berwald curvature are Berwald metrics. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Generalized Douglas-Weyl metric nationallicence Weyl metric nationallicence Douglas metric nationallicence S-curvature nationallicence Tayebi Akbar Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran aut Sadeghi Hassan Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/10(2015-10-01), 1611-1620 1439-8516 31:10<1611 2015 31 10114 https://doi.org/10.1007/s10114-015-3418-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3418-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tayebi Akbar Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran aut NATIONALLICENCE 700 1- Sadeghi Hassan Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/10(2015-10-01), 1611-1620 1439-8516 31:10<1611 2015 31 10114