Osserman manifolds of dimension 8

By Yuri Nikolayevsky. 2003

67 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2bbfbe9ef05a84f0445c4820e7d72ff8594a4747

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Giovanni Calvaruso
2. Mohamed Tahar Kadaoui Abbassi
3. E. García‐Río
4. Ramón Vázquez-Lorenzo
5. J. Díaz-Ramos
6. Yuri Nikolayevsky
7. D. Perrone
8. Tracy L. Payne

In Astronomy and Astrophysics

1. Giovanni Calvaruso
2. Mohamed Tahar Kadaoui Abbassi
3. J. Díaz-Ramos
4. E. García‐Río
5. Ramón Vázquez-Lorenzo
6. Yuri Nikolayevsky
7. D. Perrone
8. Tracy L. Payne

In Geometry and Topology

1. Giovanni Calvaruso
2. Mohamed Tahar Kadaoui Abbassi
3. E. García‐Río
4. Yuri Nikolayevsky
5. D. Perrone
6. Tracy L. Payne
7. Huaihuo Cao

Citations in the corpus

• Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators (2005, background): “4-manifolds, and [5], [17], [18], [22], [23] for the higher dimensional Riemannian and pseudo-Riemannian cases).”
• g-Natural Contact Metrics on Unit Tangent Sphere Bundles (2007, background): “[15] and Nikolayevsky ([18], [ 19 ]), the Osserman conjecture has been proved to be true for all manifolds of dimension n 6 16. Moreover, also in dimension 16 there are some partial results.”
• Osserman Conjecture in dimension n ≠ 8, 16 (2005, background): “1 The Osserman Conjecture for eight-dimensional manifolds is proved in [ 14 ] Osserman Conjecture in dimension n � 8, 16 507”