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A characteristic class for totally real surfaces in the Grassmannian of two-planes in four-space

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Publication:1080004
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DOI10.1007/BF00132255zbMath0599.32025OpenAlexW1968504277MaRDI QIDQ1080004

Thomas Fiedler

Publication date: 1986

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00132255


zbMATH Keywords

Grassmann manifoldtotally real surfacetwistor transformation


Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)


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An analogue of the Maslov index ⋮ Local invariants of singular surfaces in an almost complex four-manifold ⋮ Totally real embeddings of the torus into \({\mathbb{C}}^ 2\)



Cites Work

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  • On surfaces in four-spaces
  • Exceptional points on surfaces in four-spaces
  • Twistor holomorphic immersions of real surfaces into Kähler surface
  • Conformal and minimal immersions of compact surfaces into the 4-sphere
  • The geometry of the generalized Gauss map
  • Gravitational Waves in an expanding universe
  • Polygons and gravitons
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