The Riemann curvature through history.

Antonio Martínez Naveira

Displaying similar documents to “The Riemann curvature through history.”

Natural intrinsic geometrical symmetries.

Haesen, Stefan, Verstraelen, Leopold (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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On Gauss-Bonnet curvatures.

Labbi, Mohammed-Larbi (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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A by-proxy talk on Alexandrov's contribution.

Kutateladze, S. S. (2002)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

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Algebraic properties of curvature operators in Lorentzian manifolds with large isometry groups.

Calvaruso, Giovanni, García-Río, Eduardo (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature

Fuquan Fang, Xiang-Dong Li, Zhenlei Zhang (2009)

Annales de l’institut Fourier

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In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Émery Ricci curavture on complete Riemannian manifolds.

The first eigenvalue of the laplacian on manifolds of non-negative curvature

Isaac Chavel, Edgar A. Feldman (1974)

Compositio Mathematica

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Evolution of curvature tensors under mean curvature flow.

Tapia, Victor (2009)

Revista Colombiana de Matemáticas

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A property of Wallach's flag manifolds

Teresa Arias-Marco (2007)

Archivum Mathematicum

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In this note we study the Ledger conditions on the families of flag manifold $(M^{6} = S U (3) / S U (1) \times S U (1) \times S U (1), g_{(c_{1}, c_{2}, c_{3})})$ , $(M^{12} = S p (3) / S U (2) \times S U (2) \times S U (2), g_{(c_{1}, c_{2}, c_{3})})$ , constructed by N. R. Wallach in (Wallach, N. R., Compact homogeneous Riemannian manifols with strictly positive curvature, Ann. of Math. 96 (1972), 276–293.). In both cases, we conclude that every member of the both families of Riemannian flag manifolds is a D’Atri space if and only if it is naturally reductive. Therefore, we finish the study of $M^{6}$ made by D’Atri and Nickerson in (D’Atri, J. E., Nickerson,...