Volume 4, Issue 1, July 2014, Pages 42–46
JBILOU Asma1
1 Pôle énergies renouvelables, Université Internationale de Rabat (UIR), Laboratoire des Energies Renouvelables et Matériaux Avancés (ERMA), Parc Technopolis Rabat-Shore, campus de l'UIR, Rocade Rabat-Salé, 11100, Rabat-Sala El Jadida, Morocco
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove in this article using some convex analysis results of A. S. Lewis, the log-concavity of spectral elementary symmetric functions on the space of Hermitian matrices, and the convexity of the set of k-admissible functions on compact Kähler manifolds.
Author Keywords: Spectral functions, symmetric functions, log-concavity, convexity, admissible functions, hessian equations, Kähler manifolds.
JBILOU Asma1
1 Pôle énergies renouvelables, Université Internationale de Rabat (UIR), Laboratoire des Energies Renouvelables et Matériaux Avancés (ERMA), Parc Technopolis Rabat-Shore, campus de l'UIR, Rocade Rabat-Salé, 11100, Rabat-Sala El Jadida, Morocco
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We prove in this article using some convex analysis results of A. S. Lewis, the log-concavity of spectral elementary symmetric functions on the space of Hermitian matrices, and the convexity of the set of k-admissible functions on compact Kähler manifolds.
Author Keywords: Spectral functions, symmetric functions, log-concavity, convexity, admissible functions, hessian equations, Kähler manifolds.
How to Cite this Article
JBILOU Asma, “Convexity of the Set of k-Admissible Functions on a Compact Kähler Manifold,” International Journal of Innovation and Scientific Research, vol. 4, no. 1, pp. 42–46, July 2014.
