Infinitesimal transformations and changes in finsler geometry and special finsler spaces /
Amr Soleiman Mahmoud Hassan
Infinitesimal transformations and changes in finsler geometry and special finsler spaces / التحويلات متناهية الصغر والتغيرات فى هندسة فنسلر وفراغات فنسلر الخاصة Amr Soleiman Mahmoud Hassan ; Supervised Nabil L . Youssef , Sayed H . Abed - Cairo : Amr Soleiman Mahmoud Hassan , 2010 - 176Leaves ; 30cm
Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
In this work, we first introduce and investigate the notions of semi - spray and nonlinear connection associated with a given regular connection, on the pullback bundle . New intrinsic (coordinate - free) proofs of intrinsic versions of the existence and uniqueness theorems for the fundamental regular connection on the pullback bundle of a finsler manifold (M , L)namely the Cartan , Berwald , Chern and Hashiguchi connections, are established
Finsler geometry Grifone formalism Pullback formalism
Infinitesimal transformations and changes in finsler geometry and special finsler spaces / التحويلات متناهية الصغر والتغيرات فى هندسة فنسلر وفراغات فنسلر الخاصة Amr Soleiman Mahmoud Hassan ; Supervised Nabil L . Youssef , Sayed H . Abed - Cairo : Amr Soleiman Mahmoud Hassan , 2010 - 176Leaves ; 30cm
Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
In this work, we first introduce and investigate the notions of semi - spray and nonlinear connection associated with a given regular connection, on the pullback bundle . New intrinsic (coordinate - free) proofs of intrinsic versions of the existence and uniqueness theorems for the fundamental regular connection on the pullback bundle of a finsler manifold (M , L)namely the Cartan , Berwald , Chern and Hashiguchi connections, are established
Finsler geometry Grifone formalism Pullback formalism