• Corpus ID: 253761515

# 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…

## References

SHOWING 1-10 OF 12 REFERENCES

• Mathematics
Journal of Differential Geometry
• 2011
We embed polarised orbifolds with cyclic stabiliser groups into weighted projective space via a weighted form of Kodaira embedding. Dividing by the (non-reductive) automorphisms of weighted
• Mathematics
• 2012
This is the second of a series of three papers which provide proofs of results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities
• Mathematics
• 2013
This is the third and final paper in a series which establish results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the
Preface.- 1 Smooth Manifolds.- 2 Smooth Maps.- 3 Tangent Vectors.- 4 Submersions, Immersions, and Embeddings.- 5 Submanifolds.- 6 Sard's Theorem.- 7 Lie Groups.- 8 Vector Fields.- 9 Integral Curves
• Mathematics
• 2001
Let M (resp. N) be a connected. smooth (= C x ) n-dimensional manifold without boundary. We denote by C x (M) the ring of smooth real valued functions on M and by x(M) the Lie-algebra of all smooth
• Mathematics
Annals of Mathematics
• 2022
We prove that on any log Fano pair of dimension n whose stability threshold is less than n+1 n , any valuation computing the stability threshold has a finitely generated associated graded ring.
• Mathematics
• 2007
D-Modules and Perverse Sheaves.- Preliminary Notions.- Coherent D-Modules.- Holonomic D-Modules.- Analytic D-Modules and the de Rham Functor.- Theory of Meromorphic Connections.- Regular Holonomic
• Mathematics, Physics
• 2012
This is the first of a series of three papers which provide proofs of results announced recently in arXiv:1210.7494.
• Mathematics
• 2006
We study degenerate complex Monge-Ampere equations of the form $(\omega+dd^c\f)^n = e^{t \f}\mu$ where $\omega$ is a big semi-Kahler form on a compact Kahler manifold $X$ of dimension $n$, \$t \in
CONTENTS Introduction § 1. Algebraic function fields and the Fuchs conditions § 2. Admissible solutions § 3. Proof of Theorem 5 § 4. Malmquist's theorem § 5. The asymptotic behaviour of solutions §