Induced and intrinsic Hashiguchi connections on Finsler submanifolds

摘要

We investigate the geometry of Finsler submanifolds using the pull-back approach. We define the Finsler normal pull-back bundle and obtain the induced geometric objects, namely, induced pull-back Finsler connections, normal pull-back Finsler connections, second fundamental form and shape operator. Some characteristic theorems on induced and intrinsic Hashiguchi connections are obtained. Under a certain condition, we prove that induced and intrinsic Hashiguchi connections coincide on the pull-back bundle of Finsler submanifold