On complex Douglas spaces

Journal of Geometry and Physics - Tập 66 - Trang 80-93 - 2013
Nicoleta Aldea1, Gheorghe Munteanu1
1Department of Mathematics and Informatics, Transilvania University, Iuliu Maniu 50, Braşov 500091, Romania

Tài liệu tham khảo

Antonelli, 1993 Bácsó, 2004, A note on generalized Douglas space, Period. Math. Hungar., 48, 181, 10.1023/B:MAHU.0000038974.24588.83 Bao, 2000, vol. 200 Berwald, 1947, Uber Finslersche und Cartansche geometrie. IV, Ann. of Math., 48, 755, 10.2307/1969139 Matsumoto, 1980, Projective changes of Finsler metrics and projectively flat Finsler spaces, Tensor (NS), 34, 303 Shen, 2008, On projectively related Randers metrics, Internat. J. Math., 19, 503, 10.1142/S0129167X08004789 Shen, 2001 Bácsó, 1998, On Finsler spaces of Douglas type. II. Projectively flat spaces, Publ. Math. Debrecen, 53, 423, 10.5486/PMD.1998.2138 Douglas, 1927, The general geometry of path, Ann. of Math., 29, 143, 10.2307/1967989 Najafi, 2010, Finsler metrics of scalar flag curvature and projective invariants, Balkan J. Geom. Appl., 15, 90 Rund, 1959 Szabo, 1981, Positive definite Berwald spaces, Tensor (NS), 35, 25 Bácsó, 1997, On Finsler spaces of Douglas type: a generalization of Berwald space, Publ. Math. Debrecen, 51, 385, 10.5486/PMD.1997.1975 Aldea, 2012, On projective invariants of the complex Finsler spaces, Differential Geom. Appl., 30, 562, 10.1016/j.difgeo.2012.07.010 Aldea, 2012, Projectively related complex Finsler metrics, Nonlinear Anal. RWA, 13, 2178, 10.1016/j.nonrwa.2012.01.013 Abate, 1994, vol. 1591 Aikou, 2003, Projective flatness of complex Finsler metrics, Publ. Math. Debrecen, 63, 343, 10.5486/PMD.2003.2690 Kobayashi, 1996, Complex Finsler vector bundles, Contemp. Math., 196, 145, 10.1090/conm/196/02440 Munteanu, 2007, Totally geodesic holomorphic subspaces, Nonlinear Anal. RWA, 8, 1132, 10.1016/j.nonrwa.2006.06.008 Royden, 1984, Complex Finsler metrics, Contemp. Math., 49, 119, 10.1090/conm/049/833808 Wong, 2011 Wong, 2011, On weighted complex Randers metrics, Osaka J. Math., 48, 589 Munteanu, 2004 Chen, 2009, Kähler Finsler metrics are actually strongly Kähler, Chin. Ann. Math. Ser. B, 30, 173, 10.1007/s11401-008-0092-z Aldea, 2012, On complex Landsberg and Berwald spaces, J. Geom. Phys., 62, 368, 10.1016/j.geomphys.2011.10.010 Aldea, 2009, On complex Finsler spaces with Randers metrics, J. Korean Math. Soc., 46, 949, 10.4134/JKMS.2009.46.5.949 Chen, 2010, On complex Randers metrics, Internat. J. Math., 21, 971, 10.1142/S0129167X10006367 Sternin, 1994, vol. 276