INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 499-507
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Invariant submanifolds of contact (κ, μ)-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (κ, μ)-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (κ, μ)-manifold, μ ≠ 0, such that the characteristic vector field is tangent to the submanifold is invariant. Some consequences of these results are then discussed.
MONTANO, BENIAMINO CAPPELLETTI; TERLIZZI, LUIGIA DI; TRIPATHI, MUKUT MANI. INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 499-507. doi: 10.1017/S0017089508004369
@article{10_1017_S0017089508004369,
author = {MONTANO, BENIAMINO CAPPELLETTI and TERLIZZI, LUIGIA DI and TRIPATHI, MUKUT MANI},
title = {INVARIANT {SUBMANIFOLDS} {OF} {CONTACT} (\ensuremath{\kappa}, {\ensuremath{\mu})-MANIFOLDS}},
journal = {Glasgow mathematical journal},
pages = {499--507},
year = {2008},
volume = {50},
number = {3},
doi = {10.1017/S0017089508004369},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004369/}
}
TY - JOUR AU - MONTANO, BENIAMINO CAPPELLETTI AU - TERLIZZI, LUIGIA DI AU - TRIPATHI, MUKUT MANI TI - INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS JO - Glasgow mathematical journal PY - 2008 SP - 499 EP - 507 VL - 50 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004369/ DO - 10.1017/S0017089508004369 ID - 10_1017_S0017089508004369 ER -
%0 Journal Article %A MONTANO, BENIAMINO CAPPELLETTI %A TERLIZZI, LUIGIA DI %A TRIPATHI, MUKUT MANI %T INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS %J Glasgow mathematical journal %D 2008 %P 499-507 %V 50 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004369/ %R 10.1017/S0017089508004369 %F 10_1017_S0017089508004369
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