Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set-Reference-Cited by-同舟云学术

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Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set

Published:2022-11-21 Issue:3 Volume:202 Page:1411-1424
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Delladio Silvano^ORCID

Abstract

AbstractA property of weak stationarity of a matrix valued differential form at superdensity points of its vanishing set is proved. This result is then applied in the context of the Maurer–Cartan equation.

Funder

Università degli Studi di Trento

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10231-022-01286-8.pdf

Reference14 articles.

1. Bryant, R.L., Chern, S.S., Gardner, R.B., Goldschmidt, H.L., Griffiths, P.A.: Exterior differential systems. Mathematical Sciences Research Institute Publications, p. 18. Springer-Verlag, New York, 1991. ISBN: 0-387-97411-3

2. Delladio, S.: Functions of class $$C^1$$ subject to a Legendre condition in an enhanced density set. Rev. Mat. Iberoam. 28(1), 127–140 (2012)

3. Delladio, S.: A note on some topological properties of sets with finite perimeter. Glasg. Math. J. 58(3), 637–647 (2016)

4. Delladio, S.: Density-degree function for subsets of $$\mathbb{R} ^{n}$$. Houston J. Math. 45(3), 743–762 (2019)

5. Delladio, S.: The tangency of a $$C^1$$ smooth submanifold with respect to a non-involutive $$C^1$$ distribution has no superdensity points. Indiana Univ. Math. J. 68(2), 393–412 (2019)

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