Summary
This paper generalizedMinkowski formulas for a closed orientable hypersurface in aRiemann space with constant curvature which have been introduced byC. C. Hsiung, and studies on some properties of the hypersurface whose the v-th mean curvature is constant, on making use of the generalized formulas.
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C. C. Hsiung,Some integral formulas for closed hypersuperface, « Math. Scand. 2 (1954), 286–294.
C. C. Hsiung,Some integral formulas for closed hypersuperface in Riemann space. « Pacific Jour. of Math. 6 », (1956), 291–299.
K. Yano,The theory of Lie derivatives and its applications, Amsterdam, 1957.
H. Hopf undVoss,Ein Satz aus der Flächentheorie im Grossen, « Arch. Math. 3 », (1952), 187–192.
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To Enrico Bompiani on his scientific Jubilee
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Katsurada, Y. Generalized Minkowski formulas for closed hypersuperfaces in Riemann space. Annali di Matematica 57, 283–293 (1962). https://doi.org/10.1007/BF02417744
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DOI: https://doi.org/10.1007/BF02417744