2022-05-25T01:38:43Zhttps://niigata-u.repo.nii.ac.jp/oaioai:niigata-u.repo.nii.ac.jp:000025432021-03-01T20:31:05ZVolume, surface area and inward injectivity radiusVolume, surface area and inward injectivity radiusInnami, Nobuhiro37716We show some relations among the volumes of domains in Euclidean spaces, their surface areas and the inward injectivity radii from their boundaries. In particular, we give an estimate for the upper bound of the ratios of their surface areas and volumes by means of inward injectivity radii. The upper bound seems to depend on their topological structures.journal articleAmerican Mathematical Society1999-04application/pdfProceedings of the American Mathematical Society1012730493055Proceedings of the American Mathematical SocietyAA0078179000029939https://niigata-u.repo.nii.ac.jp/record/2543/files/127_10_3049-3055.pdfenginfo:doi/10.1090/S0002-9939-99-04878-9Copyright(C) 1999 American Mathematical Society