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math.DG2020
Differential Geometry of Weightings
Yiannis Loizides, Eckhard Meinrenken
We describe the notion of a \emph{weighting} along a submanifold , and explore its differential-geometric implications. This includes a detailed discussion of weighted…
math.DG2020
On the integration of transitive Lie algebroids
Eckhard Meinrenken
We revisit the problem of integrating Lie algebroids to Lie groupoids , for the special case that the Lie algebroid is transitive. We obt…
math.DG2020
Euler-like vector fields, normal forms, and isotropic embeddings
Eckhard Meinrenken
Germs of tubular neighborhood embeddings for submanifolds N of manifolds M are in one-one correspondence with germs of Euler-like vector fields near N. In many contexts, this reduc…