Abstract
Real flag manifolds are the isotropy orbits of noncompact symmetric spaces G/K. Any such manifold M is acted on transitively by the (noncompact) Lie group G, and it is embedded in euclidean space as a taut submanifold. The aim of this paper is to show that the gradient flow of any height function is a one-parameter subgroup of G, where the gradient is defined with respect to a suitable homogeneous metric s on M; this generalizes the Kähler metric on adjoint orbits (the so-called complex flag manifolds). 2000 Mathematics Subject Classification 53C30, 53C35.
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