Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems

We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a compatibility operator for Lie derivatives of the metric tensor. This problem is related to other compatibility problems in...

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Bibliographic Details
Published in:Forum of Mathematics, Sigma
Main Authors: Raz Kupferman, Roee Leder
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425000106/type/journal_article