6 papers
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 if and…
Sasakian manifolds and spin-c Killing spinors
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 a real Killing constant $α\in\mathbb{R}^{…
Torsionless three-dimensional Heterotic solitons with harmonic curvature are rigid
Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi
We prove the following rigidity result: every compact three-dimensional Heterotic soliton with vanishing torsion and harmonic curvature is rigid, namely, it is an isolated point in…
Three-dimensional compact Heterotic solitons with parallel torsion
Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi
We obtain a rigidity result for compact three-dimensional Heterotic solitons with parallel non-trivial torsion. We show that they are either hyperbolic three-manifolds or compact q…
The Cauchy problem for gradient generalized Ricci solitons on a bundle gerbe
Severin Bunk, Miguel Pino Carmona, C. S. Shahbazi
We prove well-posedness of the analytic Cauchy problem for gradient generalized Ricci solitons on an abelian bundle gerbe and solve the initial data equations on every compact Riem…
Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes
C. S. Shahbazi
This dissertation is concerned with the geometric study of differential spinors on oriented and spin Lorentzian four-manifolds via the theory of spinorial polyforms. The main resul…