An integral formula for compact hypersurfaces in a Euclidean space and its applications
Glasgow mathematical journal, Tome 34 (1992) no. 3, pp. 309-311
Voir la notice de l'article provenant de la source Cambridge University Press
Let M be a compact hypersurface in a Euclidena space Rn+1. The support function p of M is the component of the position vector field of Min Rn+1 along the unit normal vector field to M, which is a smooth function defined on M. Let S be the scalar curvature of M. The object of the present paper is to prove the following theorems.
Deshmukh, Sharief. An integral formula for compact hypersurfaces in a Euclidean space and its applications. Glasgow mathematical journal, Tome 34 (1992) no. 3, pp. 309-311. doi: 10.1017/S0017089500008867
@article{10_1017_S0017089500008867,
author = {Deshmukh, Sharief},
title = {An integral formula for compact hypersurfaces in a {Euclidean} space and its applications},
journal = {Glasgow mathematical journal},
pages = {309--311},
year = {1992},
volume = {34},
number = {3},
doi = {10.1017/S0017089500008867},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008867/}
}
TY - JOUR AU - Deshmukh, Sharief TI - An integral formula for compact hypersurfaces in a Euclidean space and its applications JO - Glasgow mathematical journal PY - 1992 SP - 309 EP - 311 VL - 34 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008867/ DO - 10.1017/S0017089500008867 ID - 10_1017_S0017089500008867 ER -
%0 Journal Article %A Deshmukh, Sharief %T An integral formula for compact hypersurfaces in a Euclidean space and its applications %J Glasgow mathematical journal %D 1992 %P 309-311 %V 34 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008867/ %R 10.1017/S0017089500008867 %F 10_1017_S0017089500008867
[1] 1.Coghlan, L. and Itokawa, Y., On the sectional curvature of compact hypersurfaces, Proc. Amer. Math. Soc. 109(1) (1990), 215–221. Google Scholar | DOI
[2] 2.Jacobowitz, H., Isometric embedding of a compact Riemannian manifold into Euclidean space, Proc. Amer. Math. Soc. 40(1) (1973), 245–246. Google Scholar | DOI
[3] 3.Kobayashi, S. and Nomizu, K., Foundations of differential geometry vol. II (Interscience Publ., 1969). Google Scholar
Cité par Sources :