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Let $(M,\mathcal F)$ be a closed, oriented Riemannian manifold of a foliation $\mathcal F$ with a nonisometric transversal conformal field. Then $(M,\mathcal F)$ is transversally isometric to the sphere under some transversal concircular curvature conditions.
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참고문헌 (17)
참고문헌 신청
J. A. Alvarez Lopez / 1992 / The basic component of the mean curvature of Riemannian foliations / Ann. Global Anal. Geom. 10(2):179~194
M. J. Jung / 2008 / Riemannian foliations admitting transversal conformal fields / Geom. Dedicata 133:155~168
S. D. Jung / 2015 / Riemannian foliations admitting transversal conformal fields II / Geom. Dedicata 175:257~266
S. D. Jung / 2011 / Generalized Obata theorem and its applications on foliations / J. Math. Anal. Appl. 376(1):129~135
F. W. Kamber / 1982 / Harmonic foliations, in Harmonic maps (New Orleans, La., 1980) / Lecture Notes in Math. 949:87~121
M. J. Jung / 2008 / Riemannian foliations admitting transversal conformal fields / Geom. Dedicata 133:155~168
S. D. Jung / 2015 / Riemannian foliations admitting transversal conformal fields II / Geom. Dedicata 175:257~266
S. D. Jung / 2011 / Generalized Obata theorem and its applications on foliations / J. Math. Anal. Appl. 376(1):129~135
F. W. Kamber / 1982 / Harmonic foliations, in Harmonic maps (New Orleans, La., 1980) / Lecture Notes in Math. 949:87~121
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