An Induced Finsler Connection on the Sub-manifold in a Finsler Space

Abstract

Taking the projection of Finsler tensor Held as an induced tensor, this paper gives out the expression of new Finsler-connection in a Finsler by making the index of covariant component of coefficient of connection in ω <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a</sup> and (θ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">v</sup> ) <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a</sup> be fallen, taking the metric tensor as the induced tensor, gives out the induced connection obtained from Cartan connection.