Examples of slant submanifolds in the Sasakian space R^{2n+1} are obtained as the leaves of a harmonic, Riemannian 3-dimensional foliation. With the exception of the anti-invariant ones, these leaves are all locally homogeneous manifolds with negative scalar curvature, whose Ricci tensor satisfies (del(X)S)(X, X)= 0 for all tangent vector fields.
Foliations of the Sasakian space R2n+1 by minimal slant submanifolds
LOTTA, Antonio
1999-01-01
Abstract
Examples of slant submanifolds in the Sasakian space R^{2n+1} are obtained as the leaves of a harmonic, Riemannian 3-dimensional foliation. With the exception of the anti-invariant ones, these leaves are all locally homogeneous manifolds with negative scalar curvature, whose Ricci tensor satisfies (del(X)S)(X, X)= 0 for all tangent vector fields.File in questo prodotto:
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