The goal of the present thesis is to introduce on a Riemannian Spin- manifold a system of partial differential equations for spinor-valued differ- ential forms called Killing equations. We study basic properties of several types of Killing fields and relationships among them. We provide a simple construction of Killing spinor-valued forms from Killing spinors and Killing forms. We also review the construction of metric cone and discuss the re- lationship between Killing spinor-valued forms on the base manifold and parallel spinor-valued forms on the metric cone
We describe in this paper all simply connected Spin"C manifolds carrying parallel and real Kill...
We construct exact solutions of the Einstein-Dirac equation, which couples the gravitational field w...
21 pages, to appear in Differential Geometry and its ApplicationsInternational audienceWe give a spi...
The goal of the present thesis is to introduce on a Riemannian Spin- manifold a system of partial di...
summary:On a pseudo-Riemannian manifold $\mathbb{M}$ we introduce a system of partial differential K...
We develop a new framework for the study of generalized Killing spinors, where every generalized Kil...
summary:This paper deals with Dirac, twistor and Killing equations on Weyl manifolds with $C$-spin s...
A supermanifold M is canonically associated to any pseudo Riemannian spin manifold (M_0,g_0). Extend...
summary:[For the entire collection see Zbl 0699.00032.] \par The author considers the conformal rela...
To appear in Pacific Journal of MathematicsInternational audienceIn this paper we give a spinorial r...
Abstract: We describe all simply connected Spinc manifolds carrying parallel and real Killing spinor...
A classical object of differential geometry are Killing vector fields. These are by definition infin...
: In this paper, the Dirac, twistor and Killing equations are investigated on CSpin manifolds. These...
We show necessary conditions for the existence of transversal Killing spinors on a spin manifold end...
Let Mn.n 1 / be an n-dimensional Riemannian manifold and1 denotes the Laplacian operator. A non-zer...
We describe in this paper all simply connected Spin"C manifolds carrying parallel and real Kill...
We construct exact solutions of the Einstein-Dirac equation, which couples the gravitational field w...
21 pages, to appear in Differential Geometry and its ApplicationsInternational audienceWe give a spi...
The goal of the present thesis is to introduce on a Riemannian Spin- manifold a system of partial di...
summary:On a pseudo-Riemannian manifold $\mathbb{M}$ we introduce a system of partial differential K...
We develop a new framework for the study of generalized Killing spinors, where every generalized Kil...
summary:This paper deals with Dirac, twistor and Killing equations on Weyl manifolds with $C$-spin s...
A supermanifold M is canonically associated to any pseudo Riemannian spin manifold (M_0,g_0). Extend...
summary:[For the entire collection see Zbl 0699.00032.] \par The author considers the conformal rela...
To appear in Pacific Journal of MathematicsInternational audienceIn this paper we give a spinorial r...
Abstract: We describe all simply connected Spinc manifolds carrying parallel and real Killing spinor...
A classical object of differential geometry are Killing vector fields. These are by definition infin...
: In this paper, the Dirac, twistor and Killing equations are investigated on CSpin manifolds. These...
We show necessary conditions for the existence of transversal Killing spinors on a spin manifold end...
Let Mn.n 1 / be an n-dimensional Riemannian manifold and1 denotes the Laplacian operator. A non-zer...
We describe in this paper all simply connected Spin"C manifolds carrying parallel and real Kill...
We construct exact solutions of the Einstein-Dirac equation, which couples the gravitational field w...
21 pages, to appear in Differential Geometry and its ApplicationsInternational audienceWe give a spi...