Fetching the paper…

Reading the bibliography…

2014

$\mathcal{I}$-degenerate pseudo-Riemannian metrics

Hervik, Sigbjorn, Haarr, Anders, Yamamoto, Kei

Original
PDF
Post on X

Understand

In this paper we study pseudo-Riemannian spaces with a degenerate curvature structure i.e.

there exists a continuous family of metrics having identical polynomial curvature invariants.
We approach this problem by utilising an idea coming from invariant theory.
This involves the existence of a boost which is assumed to extend to a neighbourhood.

$\mathcal{I}$-degenerate pseudo-Riemannian metrics · Around

Built on

A.G. Walker, 1949, Quart. J. Math. (Oxford), 20
1950
Earlier work this paper cites.
R.W. Richardson and P.J. Slodowy, 1990, J. London Math. Soc. (2) 42
1990
Earlier work this paper cites.
V. Pravda, A. Pravdova, A. Coley and R. Milson, 2002 Class. Quant. Grav. 19
2006
Earlier work this paper cites.
A. Coley, S. Hervik and N. Pelavas, 2006, Class. Quant. Grav. 23
2006
Earlier work this paper cites.
R. Goodman and N.R. Wallach, Symmetry, Representations and Invariants
2009
Earlier work this paper cites.
A. Coley, S. Hervik and N. Pelavas, 2009, Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.

Similar

S Hervik and A. Coley, 2010, Class. Quant. Grav. 27
Original
2009
Cited alongside, same era.
A. Coley, S. Hervik, G. Papadopoulos and N. Pelavas, 2009, Class. Quant. Grav. 26
Original
2009
Cited alongside, same era.
R. Penrose and W. Rindler, Twistors and Space-time , Cambridge Uni. Press, volumes 1 & 2 (1986); M. Dunajski, J. Phys
2009
Cited alongside, same era.
A. Coley, S. Hervik and N. Pelavas, Class. Quant. Grav. 27
Original
2010
Cited alongside, same era.
M. Dunajski, Proc. Roy. Soc. Lond. A458
Original
2010
Cited alongside, same era.

Then

S. Hervik, Class. Quant. Grav. 28
Original
2011
Later among the works it cites.
S. Hervik and A. Coley, Int.J.Geom.Meth.Mod.Phys. 08
Original
2011
Later among the works it cites.
A. Alcolado, A. MacDougall, A. Coley and S. Hervik, J. Geom. Phys. 62
Original
2012
Later among the works it cites.
S.Hervik, Class.Quant.Grav. 29
2012
Later among the works it cites.
S. Hervik, M. Ortaggio and L. Wylleman, Class. Quant. Grav. 30
Original
2013
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

S. Hervik, and A. Coley, Class.Quant.Grav. 28

2011

Cited alongside, same era.

T. Houri and Y. Yasui, 2014, Class.Quant.Grav.32:055002 (2015) [arXiv:1410.1023]

2015

Closest in time.