Positive scalar curvature and the Dirac operator on complete riemannian manifolds
Mikhael Gromov, H. Blaine Lawson (1983)
Publications Mathématiques de l'IHÉS
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Mikhael Gromov, H. Blaine Lawson (1983)
Publications Mathématiques de l'IHÉS
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Joan Porti (2008)
RACSAM
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This is a survey about Thurston’s geometrization conjecture of three manifolds and Perelman’s proof with the Ricci flow. In particular we review the essential contribution of Hamilton as well as some results in topology relevants for the proof.
Letizia Brunetti, Anna Maria Pastore (2013)
Publications de l'Institut Mathématique
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Andrea Sambusetti (1998-1999)
Séminaire de théorie spectrale et géométrie
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Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M., Rees, Elmer G. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Shaikh, A.A., Arslan, K., Murathan, C., Baishya, K.K. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Letizia Brunetti (2014)
Annales Polonici Mathematici
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A condition of Osserman type, called the φ-null Osserman condition, is introduced and studied in the context of Lorentz globally framed f-manifolds. An explicit example shows the naturality of this condition in the setting of Lorentz 𝓢-manifolds. We prove that a Lorentz 𝓢-manifold with constant φ-sectional curvature is φ-null Osserman, extending a well-known result in the case of Lorentz Sasaki space forms. Then we state a characterization of a particular class of φ-null Osserman 𝓢-manifolds....
Sylvain Maillot (2006-2007)
Séminaire de théorie spectrale et géométrie
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Letizia Brunetti, Angelo Caldarella (2014)
Open Mathematics
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We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds...
Ruberman, Daniel (2001)
Geometry & Topology
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Hristo M. Manev (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The object of investigations are almost contact B-metric manifolds which are derived as a product of a real line and a 2-dimensional manifold equipped with a complex structure and a Norden metric. There are used two different methods for generation of the B-metric on the product manifold. The constructed manifolds are characterised with respect to the Ganchev–Mihova–Gribachev classification and their basic curvature properties.