Jacobi vector fields and geodesic tubes in certain Kähler manifolds
Arvanitoyeorgos, Andreas, Beneki, Christina
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Displaying similar documents to “Jacobi fields and its application of normal contact Lorentzian manifolds.”
Jacobi vector fields and geodesic tubes in certain Kähler manifolds
Jacobi Tensors and Ricci Curvature.
John J. O'Sullivan, Jost-Hinrich Eschenburg (1980)
Mathematische Annalen
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Curvature properties of φ-null Osserman Lorentzian S-manifolds
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...
On Blaschke manifolds and harmonic manifolds
Kazuyoshi Kiyohara (1987-1988)
Séminaire de théorie spectrale et géométrie
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A characterization of the Grassmann manifold . Another review.
Ledger, A.J., Papantoniou, B.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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Lorentzian geometry in the large
John Beem (1997)
Banach Center Publications
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...
On the last geometric statement of Jacobi.
Sinclair, R. (2003)
Experimental Mathematics
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