Synclastic

This article defines a property that makes sense for a surface embedded in $\mathbb {R} ^{3}$, viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.
View other such properties

Definition

A synclastic is a surface embedded in $\mathbb {R} ^{3}$, whose Gaussian curvature is everywhere strictly positive.

Relation with other properties

Related point properties

• Elliptic point

Related surface properties

• Anticlastic
• Flat surface