논문KCI 등재
METRIC FOLIATIONS ON HYPERBOLIC SPACES
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On the hyperbolic space D^n, codimension-one totally geodesic foliations of class C^k are classified. Except for the unique parabolic homogeneous foliation, the set of all such foliations is in one-one correspondence (up to isometry) with the set of all functions z : [0,π] → S^(n−1)of class C^(k−1) with z(0) = e1 = z(π) satisfying
Abstract
On the hyperbolic space D^n, codimension-one totally geodesic foliations of class C^k are classified. Except for the unique parabolic homogeneous foliation, the set of all such foliations is in one-one correspondence (up to isometry) with the set of all functions z : [0,π] → S^(n−1)of class C^(k−1) with z(0) = e1 = z(π) satisfying
참고문헌 (13)
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