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On affine translation surfaces in affine space
- Source :
- Journal of Mathematical Analysis and Applications. 440:437-450
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- In this work we give a systemic study of affine translation surfaces in affine 3-dimensional space. Specifically, we obtain the complete classification of minimal affine translation surfaces. Moreover, we consider affine translation surfaces with some natural geometric conditions, such as constant affine mean curvature and constant Gauss–Kronecker curvature. Some characterization results with these geometric conditions are also obtained.
- Subjects :
- Applied Mathematics
010102 general mathematics
Mathematical analysis
0102 computer and information sciences
01 natural sciences
Affine plane
Affine geometry
Affine coordinate system
Affine shape adaptation
Affine combination
010201 computation theory & mathematics
Affine hull
Affine group
Affine transformation
0101 mathematics
Analysis
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 440
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi...........cd3294a6c05d2368febc5f21afc2f9cf