Geometry of cuspidal edges with boundary
Luciana F. Martins, Kentaro Saji
TL;DR
This paper investigates the differential geometric properties of cuspidal edges with boundary, focusing on invariants related to boundary behavior and their relations to other invariants.
Contribution
It introduces and analyzes invariants associated with the boundary of cuspidal edges, expanding understanding of their geometric properties.
Findings
Identification of boundary-related invariants
Relations between boundary invariants and classical invariants
Enhanced understanding of cuspidal edge geometry
Abstract
We study differential geometric properties of cuspidal edges with boundary. There are several differential geometric invariants which are related with the behavior of the boundary in addition to usual differential geometric invariants of cuspidal edges. We study the relation of these invariants with several other invariants.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory