Gauge theory, isotropy, and surfaces in affine 4-space

DOI10.1007/BF03323561zbMath1047.53005WikidataQ126201725 ScholiaQ126201725MaRDI QIDQ1411438

Rolf Walter

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

homogeneitygauge theorysurfaces in affine 4-space

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Cites Work

• Cubic form theorem for affine immersions
• Homogeneity for surfaces in four-dimensional vector space geometry
• Nonnegativity of the curvature operator and isotropy for isometric immersions
• The classification of equiaffine indefinite flat homogeneous surfaces in \(\mathbb{R}^ 4\)
• On the role of the Burstin-Mayer metric for surfaces in \(\mathbb{R}^ 4\)
• A unified equiaffine theory for surfaces in \(\mathbb{R}^ 4\). II: Indefinite surfaces
• Homogeneous parabolic surfaces in \(\mathbf R^4\)
• Zur affinen Differentialgeometrie. I. Über \(p\)-dimensionale Minimalflächen und Sphären im \(n\)-dimensionalen Raum. II. Über zweidimensionale Flächen im vierdimensionalen Raum
• HARMONIC SURFACES IN AFFINE 4-SPACE
• Riemannian Submersions, Four-Manifolds and Einstein-Weyl Geometry
• A Report on Harmonic Maps
• A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ⁴
• Über zweidimensionale parabolische Flächen im vierdimensional affinen Raum. I.
• Isotropic and Kähler Immersions
• Laplace Transforms of a Class of Higher Dimensional Varieties in a Projective Space of n Dimensions
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