supported by National Natural Science Foundation of China(Grant Nos.11671330 and 11271304);the Fujian Province Natural Science Funds for Distinguished Young Scholar(Grant No.2013J06001);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
Let (E, F) be a complex Finsler vector bundle over a compact Kahler manifold (M, g) with Kahler form φ We prove that if (E, F) is a weakly complex Einstein-Finsler vector bundle in the sense of Aikou (1997), ...
supported by Program for New Century Excellent Talents in University (Grant No. NCET-13-0510);National Natural Science Foundation of China(Grant Nos. 11271304,10971170, 11171277,11571288,11461064 and 11671330);the Fujian Province Natural Science Funds for Distinguished Young Scholar (Grant No.2013J06001);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
Under the assumption that' is a strongly convex weakly Khler Finsler metric on a complex manifold M, we prove that F is a weakly complex Berwald metric if and only if F is a real Landsberg metric.This result together ...
supported by Program for New Century Excellent Talents in University(NCET-13-0510);National Natural Science Foundation of China(11271304,11571288,11461064);the Fujian Province Natural Science Funds for Distinguished Young Scholar(2013J06001);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
Let (M1, F1) and (M2, F2) be two strongly pseudoconvex complex Finsler man- ifolds. The doubly wraped product complex Finsler manifold (f2 M1 x h M2, F) of (M1, F1) and (M2, F2) is the product manifold M1 x ...
This work was supported by NCET(Grant No.13-0510);NSFC(Grant Nos.11271304,11171277,11571288,11461064);the Fujian Province Natural Science Funds for Distinguished Young Scholar(Grant No.2013J06001).
In this paper,we prove that a unitary invariant strongly pseudoconvex complex Finsler metric is a complex Landsberg metric if and if only if it comes from a unitary invariant Hermitian metric.This implies that there d...