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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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3 results for “10-manifolds”

Positively curved

10

-manifolds with

T^3

-symmetrymath.DG

Curved 10-manifolds with torus symmetry are spheres or complex projective spaces.

problem Characterizing positively curved manifolds with torus symmetry.

method Analyzing actions of

3

-dimensional tori on closed, simply connected 10-manifolds.

result Closed, simply connected, positively curved 10-manifolds with

T^3

-symmetry are homotopy spheres or complex projective spaces.

positively curved 10-manifolds torus symmetry homotopy spheres homotopy complex projective spaces

2023-10-19abs ↗pdf ↗

Stable almost complex structures on certain

10

-manifoldsmath.DG

Let $M$ be a $10$ -dimensional closed oriented smooth manifold. Set $\mathcal{D}_{M} := \{ x \in H^{2}(M; \Z/2) \mid x^{2} + w_{2}(M) x \in ρ_{2} ( TH^{4}(M;\Z) ) \}.$ Suppose that $H_{1}(M;\Z)=0$ and $\mathcal{D}_{M} \subset ρ_{2}( H^{2}(M; \Z) )$ . Then the necessary and sufficient conditions for $M$ to admit a stabl…

2018-08-14abs ↗pdf ↗

Physics and Geometry from a Lagrangian: Dirac Spinors on a Generalised Frame Bundlemath-ph

Clarifies Einstein-Cartan gravitation with Dirac spinor on generalized frame bundle.

problem Formulating Einstein-Cartan gravitation on a frame bundle.

method Integrates Dirac spinor into the Einstein-Cartan spacetime structure.

result Variational equations imply standard field equations under standard frame bundle condition.

Einstein-Cartan gravitation Dirac spinor frame bundle generalized frame bundle variational principle

2023-12-05abs ↗pdf ↗