Higher Dimensional Holonomy Map for Ruled Submanifolds in Graded Manifolds
Abstract: The deformability condition for submanifolds of fixed degree immersed in a graded manifold can be expressed as a system of first order PDEs. In the particular but important case of ruled submanifolds, we introduce a natural choice of coordinates, which allows to deeply simplify the formal expression of the system, and to reduce it to a system of ODEs along a characteristic direction. We introduce a notion of higher dimensional holonomy map in analogy with the one-dimensional case [29], and we provide a characterization for singularities as well as a deformability criterion.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Higher Dimensional Holonomy Map for Ruled Submanifolds in Graded Manifolds ; volume:8 ; number:1 ; year:2020 ; pages:68-91 ; extent:24
Analysis and geometry in metric spaces ; 8, Heft 1 (2020), 68-91 (gesamt 24)
- Creator
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Giovannardi, Gianmarco
- DOI
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10.1515/agms-2020-0105
- URN
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urn:nbn:de:101:1-2024041116554465876120
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:50 AM CEST
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Associated
- Giovannardi, Gianmarco
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