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Results tagged with connections
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user 110243
Ehresmann connections; covariant derivatives; connections on vector bundles, principal bundles, ∞-bundles, submersions, bundle gerbes; holonomy and higher holonomy; parallel transport; torsion; curvature. See also the tags [principal-bundles], [vector-bundles], [gerbes], [curvature], [geodesics], [characteristic-classes], [torsion].
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Accepted
Relation between the geodesics of Finsler norms $F(V)$ and $F(-V)$
I solve this exercise using the properties of $\tilde{F}$. Indeed one can first prove that $\tilde{g}_v$ is an inner product. Next step prove that $\tilde{F}$ is a Finsler metric and so on. Then in is …
- 227
2
votes
1
answer
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Relation between the geodesics of Finsler norms $F(V)$ and $F(-V)$
I am trying to solve this exercise. Let $(M,F)$ be a Finsler space and define $\tilde{F}(x,y):=F(x,-y)$. Then $(M,\tilde{F})$ is a Finsler space and given a geodesic $t\mapsto \gamma(t)$ of $F$, $t\ma …
- 227