For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recently given. Here, we develop alternative notions, special cases of which apply to surfaces with boundary. Our main tool is a new fractional or nonlocal area functional for compact surfaces.

On the nonlocal curvatures of surfaces with or without boundary

Roberto Paroni
Co-primo
;
2018-01-01

Abstract

For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recently given. Here, we develop alternative notions, special cases of which apply to surfaces with boundary. Our main tool is a new fractional or nonlocal area functional for compact surfaces.
2018
Paroni, Roberto; Podio-Guidugli, Paolo; Seguin, Brian
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/930141
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