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  1. 2-sphere in Euclidean space
  2. Almost Hermitian structure gives symplectic form
  3. Ambrose-Singer theorem
  4. Arc-length functional
  5. Arzela-Ascoli theorem
  6. Aspherical manifold
  7. BBS derivative estimates
  8. Barner curve
  9. Bernstein minimal surface theorem
  10. Bonnet minimal surface theorem
  11. Calabi-Vesentini theorem
  12. Calabi-Yau manifold
  13. Caratheodory curve
  14. Catenary
  15. Chern-Weil theorem
  16. Chern class of a complex line bundle
  17. Chern connection
  18. Chern form
  19. Chow's theorem
  20. Christoffel symbols of a connection
  21. Circle
  22. Circle (Riemannian manifold)
  23. Circle in the plane
  24. Circular hyperboloid of one sheet
  25. Cobordant manifolds
  26. Cobordant maps
  27. Cobordism of differential manifolds
  28. Cobordism of smooth maps
  29. Cobordism of submanifolds
  30. Comparison theorem
  31. Complete equals geodesically complete
  32. Conformal structure on a differential manifold
  33. Conformally equivalent metrics
  34. Conjugate points
  35. Connection algebra
  36. Connection along a curve
  37. Connection is module structure over connection algebra
  38. Connection is splitting of first-order symbol sequence
  39. Connection on a principal bundle
  40. Connection on vector bundle equals connection on principal GL-bundle
  41. Convergence theorem
  42. Convexity radius
  43. Corollary of Leibniz rule for Lie bracket
  44. Cosmological constant
  45. Critical value
  46. Curvature-homogeneous pseudo-Riemannian manifold
  47. Curvature is antisymmetric in first two variables
  48. Curvature is antisymmetric in last two variables
  49. Curvature is symmetric in the pairs of first and last two variables
  50. Curvature matrix of a connection

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