6533b825fe1ef96bd128263a

RESEARCH PRODUCT

Regular k-Surfaces

Antonio GalbisManuel Maestre

subject

Set (abstract data type)PhysicsSurface (mathematics)CombinatoricsLocal coordinatesTangent spacePoint (geometry)Tangent vectorSense (electronics)Implicit function theorem

description

Roughly speaking, a regular surface in \(\mathbb{R}^3\) is a two-dimensional set of points, in the sense that it can be locally described by two parameters (the local coordinates) and with the property that it is smooth enough (that is, there are no vertices, edges, or self-intersections) to guarantee the existence of a tangent plane to the surface at each point.

yearjournalcountryeditionlanguage
2012-01-01
https://doi.org/10.1007/978-1-4614-2200-6_3