2 papers
math.DG2026
Connection Towers and Sasaki Metrics on Higher-Order Tangent Bundles
Margarida Camarinha, Jacob R. Goodman
Higher-order tangent bundles possess a rich tower of fibrations, suggesting the existence of geometric structures compatible with their iterated bundle structure. In this paper, we…
math.MG2026
A Generalized Sasaki Metric on the Second-Order Tangent Bundle
Margarida Camarinha, Jacob R. Goodman
This paper constructs a connection map on the second-order tangent bundle induced by a linear connection on the base manifold and uses it to define a generalized Sasaki metric. The…