OpenFrontiers
Join
MSC2020 · 53Cxx

Global differential geometry

Global differential geometry [See also 51H25, 58-XX] \{For related bundle theory, see 55Rxx, 57Rxx\}

17 mapped entries · Browse and filter all →

Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

53C05Connections (general theory)053C07Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)053C08Differential geometric aspects of gerbes and differential characters053C10GG-structures053C12Foliations (differential geometric aspects)053C15General geometric structures on manifolds (almost complex, almost product structures, etc.)053C17Sub-Riemannian geometry053C18Conformal structures on manifolds053C20Global Riemannian geometry, including pinching053C21Methods of global Riemannian geometry, including PDE methods; curvature restrictions253C22Geodesics in global differential geometry053C23Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces053C24Rigidity results053C25Special Riemannian manifolds (Einstein, Sasakian, etc.)053C26Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry053C27Spin and Spinc{}^c geometry053C28Twistor methods in differential geometry053C29Issues of holonomy in differential geometry053C30Differential geometry of homogeneous manifolds053C35Differential geometry of symmetric spaces053C38Calibrations and calibrated geometries053C40Global submanifolds053C42Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)053C43Differential geometric aspects of harmonic maps053C45Global surface theory (convex surfaces à la A. D. Aleksandrov)053C50Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics053C55Global differential geometry of Hermitian and Kählerian manifolds053C56Other complex differential geometry053C60Global differential geometry of Finsler spaces and generalizations (areal metrics)053C65Integral geometry053C70Direct methods (GG-spaces of Busemann, etc.)053C75Geometric orders, order geometry053C80Applications of global differential geometry to the sciences053C99Global differential geometry0

Mapped problems

Journals & articles in MSC 53

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

View source evidence →

MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 140