shape operator
shape operator noun: the differential of the Gauss map of an oriented surface at a given point on the surface.
Noun
shape operator (plural shape operators)
- The differential of the Gauss map of an oriented surface at a given point on the surface.
- Gaussian curvature is a prime example; although defined in terms of shape operators, it belongs to this intrinsic geometry, since it passes the test of isometric invariance.1966, Barrett O'Neill, Elementary Differential Geometry, Academic Press, page 304
- Timelike surfaces have symmetric shape operators which can be put into one of three canonical forms on a fixed tangent space with respect to an orthonormal basis:[…].2006, Balkan Journal of Geometry and Its Applications, volumes 11-12, page 41
- Synonyms:
- Weingarten map
Synonyms of shape operator
Forms of shape operator
| plural | shape operators |
|---|
Questions about shape operator
- What does shape operator mean?
- Shape operator means the differential of the Gauss map of an oriented surface at a given point on the surface.
- What part of speech is shape operator?
- Shape operator is a noun.
- What is the plural of shape operator?
- The plural of shape operator is shape operators.
Words near shape operator in the dictionary
Source and license
Adapted from Wiktionary: shape operator (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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