4 citations · 9 across the 7 of their papers we have counts for
7 papers
Immersion in Rn by Complex irreducible Spinors
Rafael Leao, Samuel Wainer
The first time that the connection between isometric immersion of surfaces and solutions of the Dirac equation appeared in the literature was in the seminal paper of Thomas Friedri…
Immersion in Sn by complex spinors
Rafael de Freitas Leão, Samuel Augusto Wainer
Since the first work of Thomas Friedrich showing that isometric immersions of Riemann surfaces are related to spinors and the Dirac equation, various works appeared generalizing th…
Concept of Lie Derivative of Spinor Fields. A Geometric Motivated Approach
Rafael F. Leão, Waldyr A. Rodrigues, Samuel A. Wainer
In this paper using the Clifford bundle (Cl(M,g)) and spin-Clifford bundle (Cl_{Spin_{1,3}^{e}}(M,g)) formalism, which permit to give a meaningfull representative of a Dirac-Hesten…
(1,1)-forms acting on Spinors on Kähler Surfaces
Rafael F. Leão
It is known that, for Dirac operators on Riemann surfaces twisted by line bundles with Hermitian-Einstein connections, it is possible to obtain estimates for the first eigenvalue i…
On the spectrum of the twisted Dolbeault Laplacian on line bundles over Kähler manifolds
Marcos Jardim, Rafael F. Leão
We use Dirac operator techniques to establish a sharp lower bound for the first eigenvalue of the twisted Dolbeault Laplacian on holomorphic line bundles over compact Kähler manifo…
Survey on eigenvalues of the Dirac operator and geometric structures
Marcos Jardim, Rafael F. Leao
We give a survey of results relating the restricted holonomy of a Riemannian spin manifold with lower bounds on the spectrum of its Dirac operator, giving a new proof of a result o…