Liftings of surfaces in the plane

In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we give an estimate on the dimension of self-stresses, when the frameworks will posses a non-trivial lifting.

Publication Details

Journal
ArXiv.org
Published
2025-05-24
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Liftings of surfaces in the plane

ArXiv.org
Geometric Analysis and Curvature Flows
article

Liftings of surfaces in the plane

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Abstract

In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we give an estimate on the dimension of self-stresses, when the frameworks will posses a non-trivial lifting.

ArXiv.org
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Geometric Analysis and Curvature Flows
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Liftings of surfaces in the plane · ArXiv.org (2025) | TGRS Research Map | TGRS