Displaying similar documents to “The spectra and the symmetric structure on a compact symmetric space.”

Riemannian symmetries in flag manifolds

Paola Piu, Elisabeth Remm (2012)

Archivum Mathematicum

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Flag manifolds are in general not symmetric spaces. But they are provided with a structure of 2 k -symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. The conditions for a metric adapted to the 2 2 -symmetric structure to be naturally reductive are detailed for the flag manifold S O ( 5 ) / S O ( 2 ) × S O ( 2 ) × S O ( 1 ) .

Global Gronwall estimates for integral curves on Riemannian manifolds.

Michael Kunzinger, Hermann Schichl, Roland Steinbauer, James A. Vickers (2006)

Revista Matemática Complutense

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We prove Gronwall-type estimates for the distance of integral curves of smooth vector fields on a Riemannian manifold. Such estimates are of central importance for all methods of solving ODEs in a verified way, i.e., with full control of roundoff errors. Our results may therefore be seen as a prerequisite for the generalization of such methods to the setting of Riemannian manifolds.