Transverse Riemann-Lorentz type-changing metrics with polar end

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dc.creatorLafuente-Lopez, J.
dc.date2006-06-02
dc.date.accessioned2026-07-07T07:14:44Z
dc.date.available2026-07-07T07:14:44Z
dc.descriptionConsider a smooth manifold $M$ with a smooth cometric $g^{\ast}$ which changes the bilineal type by transverse way, on a hypersurface $D^{\infty}$. Suppose that the radical annihilator hyperplane is tangent to $D^{\infty}$. We examine the geometry of the ($g^{\ast}$-dual) covariant metric $g$ on $M-$ $D^{\infty}$, prove the existence of a canonical (polar-normal) vectorfield whose integral curves are $C^{\infty}-$pregeodesics crossing $D^{\infty}$ transversely for each point, and analyze the curvature behavior using a natural coordinates. Finally we give an approach to the conformal geometry of such spaces and suggest some application as cosmological big-bang model.
dc.identifierhttps://arxiv.org/abs/math/0606048
dc.identifierhttp://arxiv.org/abs/math/0606048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113004
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C50; 53B30; 53C15
dc.titleTransverse Riemann-Lorentz type-changing metrics with polar end
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