5 citations · 9 across the 15 of their papers we have counts for
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PhySGA: A Physics-Space Grounded Agentic Framework for Generalizable and Interactive 3D Composition
Weichen Lyu, Chong Xia, Mingyu Dong +3
3D object composition is pivotal to digital content creation and robot simulation, while also serving as a critical testbed for physical intelligence in foundation models. Previous…
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…
Torsion parallel pure spinors on neutral manifolds
Alejandro Gil-García
We study irreducible real pure spinors on pseudo-Riemannian manifolds of neutral signature using the theory of real spinorial forms. We prove that the square of such a spinor is a…
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}^{…
Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes
Alejandro Gil-García, C. S. Shahbazi
We develop the differential theory of complex spinorial forms associated with irreducible complex spinors across all dimensions and signatures. This framework enables the study of…
Left-invariant harmonic spinors on three-dimensional Lie groups
Alejandro Gil-García, Giovanni Russo
We study the existence of left-invariant harmonic spinors on three-dimensional Lie groups equipped with a left-invariant pseudo-Riemannian metric. An existing formula for the spin…