TY - JOUR AU - Rafee, Mohammad AU - Kumar, Avdhesh AU - Chaubey, G. C. PY - 2018 TI - On the reversible geodesics of a Finsler space with special \((\alpha,\beta)\)-metric JO - Journal of Mathematics and Computer Science SP - 381--387 VL - 18 IS - 3 AB - This paper deals with the existence of reversible geodesics on a Finsler space with some \((\alpha,\beta)\)-metrics. The conditions for a Finsler space \((M,F)\) to be with reversible geodesics are obtained. We study some geometrical properties of \(F\) with reversible geodesics and prove that the Finsler metric \(F\) induces a weighted quasi-metric \(d_F\) on \(M\). SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.018.03.12 DO - 10.22436/jmcs.018.03.12 ID - Rafee2018 ER - TY - JOUR TI - Randers spaces with reversible geodesics AU - M. Crampin JO - Publ. Math. Debrecen PY - 2005 DA - 2005// VL - 67 ID - Crampin2005 ER - TY - JOUR TI - Über die Geomtrieen in denen die Geraden die Kürzeinten sind AU - G. Hamel JO - Math. Ann. PY - 1903 DA - 1903// VL - 57 ID - Hamel1903 ER - TY - JOUR TI - Weighted quasi-metrics AU - H. P. A. Kunzi AU - V. Vajner JO - Annals New York Acad. Sci. PY - 1994 DA - 1994// VL - 728 ID - Kunzi1994 ER - TY - JOUR TI - Reversible geodesics for (\(\alpha,\beta\))-metrics AU - I. Masca AU - S. V. Sabau AU - H. Shimada JO - Intl. J. Math. PY - 2010 DA - 2010// VL - 21 ID - Masca2010 ER - TY - JOUR TI - Two dimensional (\(\alpha,\beta\))-metrics with reversible geodesics AU - I. Masca AU - S. V. Sabau AU - H. Shimada JO - Publ. Math. Debrecen PY - 2013 DA - 2013// VL - 82 ID - Masca2013 ER - TY - JOUR TI - Finsler manifolds with reversible geodesics AU - S. V. Sabau AU - H. Shimada JO - Rev. Roumaine Math. Pures Appl. PY - 2012 DA - 2012// VL - 57 ID - Sabau2012 ER - TY - BOOK TI - Differential geometry of sprays Finsler spaces AU - Z. Shen PB - Kluwer Academic Publishers PY - 2001 DA - 2001// CY - Dordrecht ID - Shen2001 ER - TY - BOOK TI - Lectures in Finsler geometry AU - Z. Shen PB - World Scientific PY - 2001 DA - 2001// CY - USA ID - Shen2001 ER - TY - JOUR TI - On projectively flat (\(\alpha,\beta\))-metrics AU - Z. Shen JO - Canad. Math. Bull. PY - 2009 DA - 2009// VL - 52 ID - Shen2009 ER - TY - JOUR TI - On a class of projectively flat metrics with constant flag curvature AU - Z. Shen AU - G. C. Yiedrin JO - Canad. J. Math. PY - 2008 DA - 2008// VL - 60 ID - Shen2008 ER - TY - JOUR TI - A representation theorem for quasi-metric space AU - P. Vitolo JO - Topology Appl. PY - 1995 DA - 1995// VL - 65 ID - Vitolo1995 ER -