3 papers
q-bio.NC2024
Conformal models for hypercolumns in the primary visual cortex V1
D. V. Alekseevsky, A. Spiro
We propose a differential geometric model of hypercolumns in the primary visual cortex V1 that combines features of the symplectic model of the primary visual cortex by A. Sarti, G…
math.DG2023
The Levi-Civita connections of manifolds with prescribed optical geometries
Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz +1
We explicitly derive the Christoffel symbols in terms of adapted frame fields for the Levi-Civita connection of a Lorentzian -manifold , equipped with a prescribed optic…
math.DG2000
The Hermitian Connection and the Jacobi Fields of a Complex Finsler Manifold
A. Spiro
It is proved that all invariant functions of a complex Finsler manifold can be totally recovered from the torsion and curvature of the connection introduced by Kobayashi for holomo…