논문KCI 등재
The properties of Riemannian foliations admitting transversal conformal fields
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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.
Abstract
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.
참고문헌 (17)
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관련 논문AI추천
A note on generalized Lichnerowicz-Obata theorems for Riemannian foliations박정형, 박홍경대한수학회 · 대한수학회보2011 · 제48권 제4호A note on the generalized Obata theorem for Riemannian foliationsH. K. Pak장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호On transversally harmonic maps of foliated Riemannian manifolds정민주, 정승달대한수학회 · 대한수학회지2012 · 제49권 제5호TRANSVERSE KILLING FORMS ON A KAHLER FOLIATION정민주, 정승달대한수학회 · 대한수학회보2012 · 제49권 제3호Harmonic maps on weighted Riemannian foliations정승달, Jinhua Qian, Xueshan Fu대한수학회 · 대한수학회지2025 · 제62권 제2호LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS정민주, 정승달대한수학회 · 대한수학회지2017 · 제54권 제3호
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