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Invariants and flow geometry

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González-Dávila J. C., Vanhecke L.

Colloquium Mathematicum

1999

tom 81

nr 1

33-50

We continue the study of Riemannian manifolds (M,g) equipped with an isometric flow $ℱ_ξ$ generated by a unit Killing vector field ξ. We derive some new results for normal and contact flows and use invariants with respect to the group of ξ-preserving isometries to charaterize special (M,g,$ℱ_ξ$), in particular Einstein, η-Einstein, η-parallel and locally Killing-transversally symmetric spaces. Furthermore, we introduce curvature homogeneous flows and flow model spaces and derive an algebraic characterization of Killing-transversally symmetric spaces by using the curvature tensor of special flow model spaces. All these results extend the corresponding theory in Sasakian geometry to flow geometry.

Ograniczanie wyników

1 Colloquium Mathematicum

1 González-Dávila J. C.

1 Vanhecke L.

1 1999

Wyniki wyszukiwania

Invariants and flow geometry