RT Book, Section
T1 On the conformal geometry of transverse Riemann-Lorentz manifolds.
A1 Aguirre Dabán, Eduardo
A1 Fernández Mateos, Víctor
A1 Lafuente López, Javier
A2 Iglesias Ponte, David
A2 Marrero González, Juan Carlos
A2 Martín Cabrera, Francisco
A2 Padrón Fernández, Edith
A2 Sosa Martín, Diana
AB Let M be a connected manifold and let g be a symmetric covariant tensor field of order 2 on M.Assume that the set  of points where g degenerates is not empty. If U is a coordinate system around p 2 , then g is a transverse type-changing metric at p if dp(det(g)) 6= 0, and (M, g) is called a transverse type-changing pseudo-iemannian manifold if g is transverse type-changing at every point of . The set  is a hypersurface of M. Moreover, at every point of  there exists a one-dimensional radical, that is, the subspace Radp(M) of TpM, which is g-orthogonal to TpM. The index of g is constant on every connected component M = M r; thus M is a union of connected pseudo-Riemannian manifolds. Locally,  separates two pseudo-Riemannian manifolds whose indices differ by one unit. The authors consider the cases where  separates a Riemannian part from a Lorentzian one, so-called transverse Riemann-Lorentz manifolds. In this paper, they study the conformal geometry of transverse Riemann-Lorentz manifolds
PB Real Sociedad Matemática Española
SN 978-84-935193-1-2
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/53205
UL https://hdl.handle.net/20.500.14352/53205
LA eng
DS Docta Complutense
RD 4 abr 2025