Pointwise taut Riemannian manifolds

• Autores: Michael Leitschkis
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 3, 2006, págs. 523-541
• Idioma: inglés
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• Resumen

  • In the present work, we investigate pointwise taut Riemannian manifolds by using methods from Riemannian geometry, Morse theory and topology. Using ideas of Terng and Thorbergsson, we extend a result of Warner and show that a compact simply connected pointwise taut $n$-dimensional manifold is homeomorphic to a compact rank one symmetric space, if the first conjugate locus of a point is of constant multiplicity. We apply this result to study compact simply connected pointwise taut manifolds in dimensions three and four