A four-vertices theorem for ruled surfaces

Author:
P. Jha

Journal:
Proc. Amer. Math. Soc. **52** (1975), 343-344

MSC:
Primary 53A05

DOI:
https://doi.org/10.1090/S0002-9939-1975-0375096-1

MathSciNet review:
0375096

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Abstract | References | Similar Articles | Additional Information

Abstract: The skewness of distribution of an orientable closed ruled surface satisfies a four-vertices theorem.

**[1]**V. R. Chariar,*Note on transversals which meet consecutive generators of a ruled surface at a constant angle*, Bull. Calcutta Math. Soc.**37**(1945), 133–136. MR**0015252****[2]**Heinrich W. Guggenheimer,*Differential geometry*, McGraw-Hill Book Co., Inc., New York-San Francisco-Toronto-London, 1963. MR**0156266****[3]**-,*Geometrical applications of integral calculus*, Lectures on Calculus, edited by K. O. May, Holden-Day, San Francisco, Calif., 1967.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1975-0375096-1

Keywords:
Ruled surface,
skewness of distribution,
four-vertices theorem

Article copyright:
© Copyright 1975
American Mathematical Society