论文标题
Tulczyjew的三胞胎具有Ehresmann连接I：琐碎和减少
Tulczyjew's Triplet with an Ehresmann connection I: Trivialization and Reduction
论文作者
论文摘要
在存在对称性和与之相关的Ehresmann连接的情况下，我们研究了Tulczyjew三胞胎的琐碎化及其减少。因此，我们获得了琐碎和减少迭代切线和cotangent捆绑包$ t^*tq $，$ tt^*q $和$ t^*t^*q $。因此，这些歧管之间的符号晶状体被正确化和减少了。
We study the trivialization and the reduction of the Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus obtain trivializations and reductions of iterated tangent and cotangent bundles $T^*TQ$, $TT^*Q$ and $T^*T^*Q$. Accordingly, the symplectomorphisms between these manifolds are properly trivialized and reduced.
