A combinatorial Yamabe problem on two and three dimensional manifolds

نویسندگان

چکیده

In this paper, we define a new discrete curvature on two and three dimensional triangulated manifolds, which is modification of the well-known these manifolds. The definition more natural respects scaling exactly same way as Gauss does. Moreover, can be used to approximate surfaces. Then study corresponding constant problem, called combinatorial Yamabe by versions Ricci flow Calabi for surfaces 3-dimensional basic tools are maximal principle variational principle.

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ژورنال

عنوان ژورنال: Calculus of Variations and Partial Differential Equations

سال: 2021

ISSN: ['0944-2669', '1432-0835']

DOI: https://doi.org/10.1007/s00526-020-01900-8