COMPLETE CMC SPACELIKE SURFACES WITH BOUNDED HYPERBOLIC ANGLE IN GENERALIZED ROBERTSON–WALKER SPACETIMES
2010 ◽
Vol 07
(06)
◽
pp. 961-978
◽
Keyword(s):
Complete spacelike surfaces with constant mean curvature (CMC) and bounded hyperbolic angle in Generalized Robertson–Walker (GRW) spacetimes, obeying certain natural curvature assumptions, are studied. This boundedness assumption arises as a natural extension of the notion of bounded hyperbolic image of a spacelike surface in the 3-dimensional Lorentz–Minkowski spacetime. The results obtained apply to complete CMC spacelike surfaces lying between two spacelike slices in an GRW spacetime, in the steady state spacetime and in a static GRW spacetime. As an application, uniqueness and non-existence theorems for certain CMC spacelike surface differential equations in a wide family of open GRW spacetimes are given.
2011 ◽
Vol 61
(10)
◽
pp. 1845-1853
◽
2015 ◽
Vol 258
(7)
◽
pp. 2364-2374
◽
Keyword(s):
1990 ◽
Vol 61
(1)
◽
pp. 195-206
◽
Keyword(s):
Keyword(s):
2007 ◽
Vol 75
(3)
◽
pp. 563-581
◽
Keyword(s):
1999 ◽
Vol 16
(4)
◽
pp. 1323-1331
◽
Keyword(s):
2007 ◽
Vol 3
(3)
◽
pp. 785-800
◽