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math.DG 2

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2026 2

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Sasakian manifolds and spin-c Killing spinors

math.DG · 2026-06-09 · unverdicted · novelty 5.0

An odd-dimensional Riemannian manifold admits a pure spin-c Killing spinor with real Killing constant α if and only if it is α-Sasakian.

Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes

math.DG · 2026-05-21 · unverdicted · novelty 5.0

Develops complex spinorial forms to classify quasi-supersymmetric solutions of gauged supergravity as four-parameter families of complete gyratonic Brinkmann waves and derives foliation conditions for six-dimensional supergravity with self-dual bundle gerbes.

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  • Sasakian manifolds and spin-c Killing spinors math.DG · 2026-06-09 · unverdicted · none · ref 16

    An odd-dimensional Riemannian manifold admits a pure spin-c Killing spinor with real Killing constant α if and only if it is α-Sasakian.

  • Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes math.DG · 2026-05-21 · unverdicted · none · ref 35

    Develops complex spinorial forms to classify quasi-supersymmetric solutions of gauged supergravity as four-parameter families of complete gyratonic Brinkmann waves and derives foliation conditions for six-dimensional supergravity with self-dual bundle gerbes.