Published December 2017 | Version v1
Journal article Metadata-only

Weingarten Affine Translation Surfaces in Euclidean 3-Space

Creators

  • 1. Jeju National University, Department of Mathematics and Research Institute for Basic Sciences (Korea, Republic of)
  • 2. Northeastern University, Department of Mathematics (China)
  • 3. Peking University, College of Life Sciences (China)

Description

By solving certain (partial) differential equations we give the total classification of Weingarten affine translation surfaces in three dimensional Euclidean space E3. Explicitly, a Weingarten affine translation surface in Euclidean 3-space is the minimal affine Scherk surface or the surface with flat metric.

Additional details

Identifiers

DOI
10.1007/s00025-017-0737-x;

Publishing Information

Journal Title
Results in Mathematics
Journal Volume
72
Journal Issue
4
Journal Page Range
p. 1839-1848
ISSN
1422-6383

INIS

Country of Publication
Switzerland
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50026065
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
EUCLIDEAN SPACE; METRICS; PARTIAL DIFFERENTIAL EQUATIONS; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SPACE; RIEMANN SPACE; SPACE

Optional Information

Copyright
Copyright (c) 2017 Springer International Publishing AG