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Orientable Surface

A regular surface M subset R^n is called orientable if each tangent space M_p has a complex structure J_p:M_p->M_p such that p->J_p is a continuous function.

See also

Nonorientable Surface, Regular Surface

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References

Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 318, 1997.

Referenced on Wolfram|Alpha

Orientable Surface

Cite this as:

Weisstein, Eric W. "Orientable Surface." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/OrientableSurface.html

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