UNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 201-212
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In this paper, we deal with complete hypersurfaces immersed with bounded higher order mean curvatures in steady state-type spacetimes and in hyperbolic-type spaces. By applying a generalised maximum principle for the Yau's square operator [11], we obtain uniqueness results in each of these ambient spaces.
AQUINO, C. P.; LIMA, H. F. DE. UNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTS. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 201-212. doi: 10.1017/S0017089511000541
@article{10_1017_S0017089511000541,
author = {AQUINO, C. P. and LIMA, H. F. DE},
title = {UNIQUENESS {OF} {COMPLETE} {HYPERSURFACES} {WITH} {BOUNDED} {HIGHER} {ORDER} {MEAN} {CURVATURES} {IN} {SEMI-RIEMANNIAN} {WARPED} {PRODUCTS}},
journal = {Glasgow mathematical journal},
pages = {201--212},
year = {2012},
volume = {54},
number = {1},
doi = {10.1017/S0017089511000541},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000541/}
}
TY - JOUR AU - AQUINO, C. P. AU - LIMA, H. F. DE TI - UNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTS JO - Glasgow mathematical journal PY - 2012 SP - 201 EP - 212 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000541/ DO - 10.1017/S0017089511000541 ID - 10_1017_S0017089511000541 ER -
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