# ODD Metrics

@inproceedings{Braun2022ODDM, title={ODD Metrics}, author={Lukas Braun}, year={2022} }

. We introduce the concept of ODD (‘ O rthogonally D egenerating on a D ivisor’) Riemannian metrics on real analytic manifolds M . These semipositive symmetric 2-tensors may degenerate on a ﬁnite collection of submanifolds, while their restrictions to these submanifolds satisfy the inductive compatibility criterion to be an ODD metric again. In this ﬁrst in a series of articles on these metrics, we show that they satisfy basic properties that hold for Riemannian metrics. For example, we…

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