References
Cesari L.,An existence theorem of the Calculus of Variations for integrals on parametric surfaces, Amer. J. of Math. 74 (1952) 265–295.
Federer H. and Fleming W. H.,Normal and integral currents, Annals of Math. 72 (1960) 458–520.
Hardy G. H., Littlewood J. E. and Polya G.,Inequalities.
Seifert H. and Threlfall W.,Topologie.
Young L. C., (i)A lemma in the theory of surfaces, J. London Math. Soc. 19 (1944) 209–212. (ii)Generalized surfaces of finite type, Memoirs Amer. Math. Soc. no.17 (1955). (iii)A variational algorithm, Riv. di Mat. Univ. di Parma 5 (1954) 255–268. (iv)Partial area I, II, III, ibidem 10 (1959) 103–113, 171–182, 257–263. (v)Contours on generalized and extremal varieties, J. Math. and Mech. 11 (1962) 615–646. (vi)Some extremal questions for simplicial complexes I. Polyhedral geodesic strips, II.On the radius times periphery problem for area, III.Problems of geometry and analysis in the higher Euclidean Spaces, IV.The algebraic and the geometric resultant, an application of variational methods, Rend. Circ. Mat. Palermo.
Author information
Authors and Affiliations
Additional information
Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin under the Contract No.: DA-11-022-ORD-2059.
Rights and permissions
About this article
Cite this article
Young, L.C. Some extremal questions for simplicial complexes V. The relative area of a Klein bottle. Rend. Circ. Mat. Palermo 12, 257–274 (1963). https://doi.org/10.1007/BF02851262
Issue Date:
DOI: https://doi.org/10.1007/BF02851262