J. C. Jim'enez

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math.DG2026

Kenmotsu manifolds and spin-c Killing spinors

José Luis Carmona Jiménez, Alejandro Gil-García, C. S. Shahbazi

Using the theory of complex spinorial forms, we prove that an odd-dimensional Riemannian manifold admits a pure spin-c Killing spinor with an imaginary Killing function $i μ$ if and…

math.DG2026

On generalized imaginary $Spin^{c}$ -Killing spinors

José Luis Carmona Jiménez

A non-trivial spinor field $ψ$ is called a generalized imaginary $Spin^{c}$ -Killing spinor if $\nabla_{X}^{g, A} ψ = i μ X \cdot ψ$ for all vector fields $X$ , where $μ$ is a real…

math.DG2025

On Weyl structures reducible in the direction of the Lee form

José Luis Carmona Jiménez

A Weyl structure on a Riemannian manifold $(M, g)$ is a torsion-free linear connection $\nabla$ such that there is a $1$ -form $θ$ (called the Lee form) satisfying $\nabla g = 2\, θ\…

math.DG2025

Canonical Reductive Decomposition of Extrinsic Homogeneous Submanifolds

José Luis Carmona Jiménez, Marco Castrillón López

Let $M = G / H$ be a homogeneous Riemannian manifold. Given a Lie subgroup $G \subset G$ and a reductive decomposition of the homogeneous str…

Kenmotsu manifolds and spin-c Killing spinors

On generalized imaginary Spinc-Killing spinors

On Weyl structures reducible in the direction of the Lee form

Canonical Reductive Decomposition of Extrinsic Homogeneous Submanifolds

On generalized imaginary $Spin^{c}$ -Killing spinors