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  • 53-XX Differential geometry
  • 53Cxx Global differential geometry
  • 53C99 None of the above, but in this section

53Cxx Global differential geometry

  • 53C05 Connections, general theory
  • 53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
  • 53C08 Gerbes, differential characters: differential geometric aspects
  • 53C10 G -structures
  • 53C12 Foliations (differential geometric aspects)
  • 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
  • 53C17 Sub-Riemannian geometry
  • 53C20 Global Riemannian geometry, including pinching
  • 53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions
  • 53C22 Geodesics
  • 53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
  • 53C24 Rigidity results
  • 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
  • 53C26 Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry
  • 53C27 Spin and Spin c geometry
  • 53C28 Twistor methods
  • 53C29 Issues of holonomy
  • 53C30 Homogeneous manifolds
  • 53C35 Symmetric spaces
  • 53C38 Calibrations and calibrated geometries
  • 53C40 Global submanifolds
  • 53C42 Immersions (minimal, prescribed curvature, tight, etc.)
  • 53C43 Differential geometric aspects of harmonic maps
  • 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
  • 53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov)
  • 53C50 Lorentz manifolds, manifolds with indefinite metrics
  • 53C55 Hermitian and Kählerian manifolds
  • 53C56 Other complex differential geometry
  • 53C60 Finsler spaces and generalizations (areal metrics)
  • 53C65 Integral geometry ; differential forms, currents, etc.
  • 53C70 Direct methods ( G -spaces of Busemann, etc.)
  • 53C75 Geometric orders, order geometry
  • 53C80 Applications to physics
  • 53C99 None of the above, but in this section
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Real analytic convex surfaces with positive topological entropy and rigid body dynamics.

Gabriel P. Paternain (1993)

Manuscripta mathematica

Remarks on the use of the stable tangent bundle in the differential geometry and in the unified field theory

Izu Vaisman (1978)

Annales de l'I.H.P. Physique théorique

Résolution des équations aux connexions du cas antisymétrique de la théorie unitaire hypercomplexe. Application à un principe variationnel

René-Louis Clerc (1970)

Annales de l'I.H.P. Physique théorique

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