Index
T (X, Y ), 13
DDIs , 50
QC-hypersurface, 54
Ric, 18
Scal, 18
Sp(1), 9
Sp(n)-invariant parts, 9
Sp(n)Sp(1), 9
T
0(X,
Y ), 19
T
0
Q
, 67
Tξi
0
, 11
= T (ξ, .), 11
U(X, Y ), 19
[ . ][3][0], 38
[ . ][sym][−1], 38
Ψ+++, Ψ+−−, Ψ−+−, Ψ−−+,
9
G(H), 28, 39
αs, 17
¯-pluriharmonic,
Q 48
Q-orthonormal basis, 24
Q, 7
ρi, 18
σX,Y,Z , 20
τi, 18
˜
Θ, 39
ζi, 18
ds, 50
sp(1)-connection 1-forms, 17
u, 15
uQ, 67
3-Sasakian structure, 28
QC-vector fields, 69
3-contact automorphism, 64
3-contact manifold, 63
3-contact vector field, 64
ωi, 13
Sp(n), 9
fundamental 2-forms ωi, 13
symmetric part Tξi
0
, 11
almost CR structures, 30
anti-CRF function, 55
anti-regular, 52
Bianchi identities, 24
Biquard connection, 10
canonical connection, 10
Casimir operator †, 9
Cayley transform, 74
conformal qc-automorphism, 65
conformal transformation, 37
curvature tensor R, 18
formally integrable, 29
HC structure, 29
HKT-manifolds, 52
horizontal divergence, 26, 71
horizontal gradient, 37
horizontal space, 7
hypercomplex manifold, 51
hyperhermitian contact, 29
hyperk¨ ahler metric, 28
infinitesimal conformal isometry, 65
infinitesimal isometry, 65
3-Sasakain, 67
Levi-Civita connection Dg, 17
Q-pluriharmonic, 50
QC manifold, 7
QC structure, 7
QC structure in dimension 7 , 10
QC vector field, 65
qc-Einstein, 23
qc-normal frame, 25
qc-pseudo-Einstein, 47
qc-Ricci tensor Ric, 18
qc-scalar curvature Scal, 18
qc-Yamabe equation, 38
G(H), 45
qc-Yamabe problem, 72
quaternionic anti-regular, 48, 50
quaternionic contact structure, 7
quaternionic Heisenberg group
Siegel domain, 74
quaternionic Heisenberg group G(H), 28, 39
81
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