On the internal tensor structures of the fibration T(Lm(Vn))

被引:5
作者
Todua, Gocha [1 ]
机构
[1] Georgian Tech Univ, Dept Math, Tbilisi, Georgia
关键词
Vector fibration; Tangent bundle; Linear connectedness; Lifts; Tensor structures;
D O I
10.1016/j.trmi.2017.07.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we consider some internal tensor structures. It is proved that if on the space Lm(Vn) there are tensor fields a(j)(i) and a(beta)(alpha) defining almost a dual structure, then there exist such lifts of these tensor fields which represent either almost a binary structure, or almost a complex structure on T(Lm(Vn)). (C) 2017 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.
引用
收藏
页码:126 / 132
页数:7
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