Generalized Newton transformation and its applications to extrinsic geometry
Krzysztof Andrzejewski, Wojciech Kozlowski, Kamil Niedzialomski
TL;DR
This paper introduces a generalized Newton transformation applicable to systems of endomorphisms, enabling new integral formulas in extrinsic geometry related to foliations and distributions.
Contribution
It extends Newton transformations to systems of endomorphisms, providing novel tools for analyzing extrinsic geometric properties of foliations and distributions.
Findings
Derived new integral formulas involving generalized extrinsic curvatures
Extended Newton transformation framework to systems of endomorphisms
Applied the generalized transformation to extrinsic geometry contexts
Abstract
In this article we introduce a generalization of the Newton transformation to the case of a system of endomorphisms. We show that it can be used in the context of extrinsic geometry of foliations and distributions yielding new integral formulas containing generalized extrinsic curvatures.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Geometry Research · Mathematics and Applications · Geometric Analysis and Curvature Flows