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초록· 키워드
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Involving the Ricci curvature and the squared mean curva-ture, we obtain a basic inequality for an integral submanifold of an S-space form. By polarization, we get a basic inequality for Ricci tensoralso. Equality cases are also discussed. By giving a very simple proof weshow that if an integral submanifold of maximum dimension of an S-spaceform satises the equality case, then it must be minimal. These resultsare applied to get corresponding results forC-totally real submanifoldsof a Sasakian space form and for totally real submanifolds of a complexspace form.
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참고문헌 (14)
참고문헌 신청
/ 1970 / Geometry of manifolds with structural groupU
/ 1971 / On a generalization of the Hopf bration
/ 1973 / Dierential geometric structures on principaltoroidal bundles ya
/ 1984 / Structures on manifolds Series in Pure Mathematics ya (and m)
/ 1986180{187 / Minimal submanifolds in Sasakian spaceforms
/ 1971 / On a generalization of the Hopf bration
/ 1973 / Dierential geometric structures on principaltoroidal bundles ya
/ 1984 / Structures on manifolds Series in Pure Mathematics ya (and m)
/ 1986180{187 / Minimal submanifolds in Sasakian spaceforms
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