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PreprintCC BY 4.0arXiv

Generalized Killing spinors as Lagrangian sections of principal spin bundles

Abstract

In this paper, we study a one-to-one correspondence between ε-unit generalized Killing spinors on a three-dimensional pseudo-Riemannian spin manifold (M,g) and Lagrangian sections of an almost pseudo-Hermitian structure on its principal spin bundle.

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BibTeX
@misc{ueno2026generalized,
  title = {{Generalized Killing spinors as Lagrangian sections of principal spin bundles}},
  author = {Fumihiro Ueno},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26813},
  eprint = {2609.26813},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26813},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generalized Killing spinors as Lagrangian sections of principal spin bundles
AU  - Fumihiro Ueno
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.26813
UR  - https://arxiv.org/abs/2609.26813
AB  - In this paper, we study a one-to-one correspondence between ε-unit generalized Killing spinors on a three-dimensional pseudo-Riemannian spin manifold (M,g) and Lagrangian sections of an almost pseudo-Hermitian structure on its principal spin bundle.
ER  -