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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds

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Author(s):
Negreiros, Caio J. C. [1] ; Grama, Lino [1] ; San Martin, Luiz A. B. [1]
Total Authors: 3
Affiliation:
[1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 40, n. 1, p. 105-123, JUN 2011.
Web of Science Citations: 4
Abstract

In this article, we study variational aspects for a special class of holomorphic maps on flag manifolds. We prove stability and non-stability results for such maps with respect to a large number of invariant Hermitian structures on maximal flag manifolds including the (1, 2)-symplectic structures, Einstein metrics, Cartan-Killing metrics, and so on. Some results in this article were announced without proofs in a past article by the first author. (AU)

FAPESP's process: 07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants