Differential geometry is the study of Riemannian manifolds. Differential geometry deals with metrical notions on manifolds, while differential topology deals with nonmetrical notions of manifolds.
Differential Geometry
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Differential Topology Explore this topic in the MathWorld classroomExplore with Wolfram|Alpha
References
Dillen, F. J. E. and Verstraelen, L. M. C. (Eds.). Handbook of Differential Geometry, Vol. 1. Amsterdam, Netherlands: North-Holland, 2000.Eisenhart, L. P. A Treatise on the Differential Geometry of Curves and Surfaces. New York: Dover, 1960.Graustein, W. C. Differential Geometry. New York: Dover, 1966.Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, 1997.Kreyszig, E. Differential Geometry. New York: Dover, 1991.Lipschutz, M. M. Theory and Problems of Differential Geometry. New York: McGraw-Hill, 1969.Spivak, M. A Comprehensive Introduction to Differential Geometry, Vol. 1, 2nd ed. Berkeley, CA: Publish or Perish Press, 1979a.Spivak, M. A Comprehensive Introduction to Differential Geometry, Vol. 2, 2nd ed. Berkeley, CA: Publish or Perish Press, 1990a.Spivak, M. A Comprehensive Introduction to Differential Geometry, Vol. 3, 2nd ed. Berkeley, CA: Publish or Perish Press, 1990b.Spivak, M. A Comprehensive Introduction to Differential Geometry, Vol. 4, 2nd ed. Berkeley, CA: Publish or Perish Press, 1979b.Spivak, M. A Comprehensive Introduction to Differential Geometry, Vol. 5, 2nd ed. Berkeley, CA: Publish or Perish Press, 1979c.Struik, D. J. Lectures on Classical Differential Geometry. New York: Dover, 1988.Weatherburn, C. E. Differential Geometry of Three Dimensions, 2 vols. Cambridge, England: Cambridge University Press, 1961.Weisstein, E. W. "Books about Differential Geometry." http://www.ericweisstein.com/encyclopedias/books/DifferentialGeometry.html.Referenced on Wolfram|Alpha
Differential GeometryCite this as:
Weisstein, Eric W. "Differential Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DifferentialGeometry.html