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Isometric C-Immersions

  • Mikhael Gromov
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 9)

Abstract

The theory of topological sheaves (see 2.2) and the implicit function theorem (see 2.3) provide a general framework for the isometric immersion problem which consists of the construction and classification of isometric C -maps f: (V, g) → (W, h), for given forms g on V and h on W (compare 2.4.9). However, the direct application of 2.2 and 2.3 does not lead to geometrically significant results unless specific geometrical features of the forms in question are taken into account.

Keywords

Riemannian Manifold Sectional Curvature Constant Curvature Symplectic Form Implicit Function Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Mikhael Gromov
    • 1
  1. 1.Institute des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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