Foliations Transverse to a Closed Conformal Vector Field
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DOI: 10.1007/s00025-024-02334-w
Abstract: In this article, we study the geometric properties of codimension one foliations on Riemannian manifolds equipped with vector fields that are closed and conformal. Apart from its singularities, these vector fields define codimension one foliations… read more here.
Keywords: vector; transverse closed; vector field; closed conformal ... See more keywords
S-closed conformal transformations in Finsler geometry
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DOI: 10.1016/j.difgeo.2018.02.004
Abstract: Abstract In this paper, we study S-closed conformal transformations, i.e., conformal transformations preserving the S-curvature invariant. Using the maximum principle, we prove that such transformation must be a homothety unless the Finsler manifold is Riemannian. read more here.
Keywords: finsler geometry; conformal transformations; transformations finsler; closed conformal ... See more keywords