COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE*
Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 203-208
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In this paper, we prove that a strongly convex and Kähler-Finsler metric is a complex Berwald metric with zero holomorphic sectional curvature if and only if it is a complex locally Minkowski metric.
YAN, RONGMU. COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE*. Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 203-208. doi: 10.1017/S001708950800414X
@article{10_1017_S001708950800414X,
author = {YAN, RONGMU},
title = {COMPLEX {BERWALD} {MANIFOLDS} {WITH} {VANISHING} {HOLOMORPHIC} {SECTIONAL} {CURVATURE*}},
journal = {Glasgow mathematical journal},
pages = {203--208},
year = {2008},
volume = {50},
number = {2},
doi = {10.1017/S001708950800414X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950800414X/}
}
TY - JOUR AU - YAN, RONGMU TI - COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE* JO - Glasgow mathematical journal PY - 2008 SP - 203 EP - 208 VL - 50 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708950800414X/ DO - 10.1017/S001708950800414X ID - 10_1017_S001708950800414X ER -
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