Harry E. Rauch

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THEOREM 1. Let S be a compact Riemann surface of genus 2g—l, g à 2, which permits a conformai fixed point free involution 1\ Let 7i, * • • , 72o-i ; Si, • • • , Ô20_i be a canonical dissection of S and let T be such that T(yi) is homologous to yi9 T(8i) is homologous to Si, T(yi) is homologous to y0+i-i and T(ôi) is homologous to S0+»_i, i = 2, • • • , g.(More)
9. R. Palais, Ljusternik-Schnirelmann theory on Banach manifolds, Topology 15 (1966), 115-132. 10. F. Rellich, Störungstheorie der Spektralzerlegung. I, Math. Annalen 113 (1936), 600-619. 11. E. Schmidt, Zur Theorie der linear en und nichtlinearen Integralgleichungen. I l l , Teil, Math. Ann. 65 (1910), 370-399. 12. J. Schwartz, Generalizing the(More)
It was recognized in Riemann's work more than one hundred years ago and proved recently by Rauch (cf. Bull. Am. Math. Soc., 71, 1-39 (1965) that the g(g + 1)/2 unnormalized periods of the normal differentials of first kind on a compact Riemann surface S of genus g >/= 2 with respect to a canonical homology basis are holomorphic functions of 3g - 3 complex(More)
In the article of the above title appearing in these PROCEEDINGS, 41, 236-238, 1955, the following corrections should be made: On page 236 in the last sentence 2p 2 should be replaced by p. The second sentence of the last paragraph on page 237 should read ".. not only S but also D ....." In the same paragraph (p. 238) C, should read Cj. The last sentence of(More)