Abstract
AbstractWe classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces $$\textrm{SL}(3,\mathbb {H})/\textrm{Sp}(3), \textrm{SO}(5,\mathbb {C})/\textrm{SO}(5),$$
SL
(
3
,
H
)
/
Sp
(
3
)
,
SO
(
5
,
C
)
/
SO
(
5
)
,
and $$\textrm{Gr}^*(2,\mathbb {C}^{n+4}) = \textrm{SU}(n+2,2)/\textrm{S}(\textrm{U}(n+2)\textrm{U}(2)), \, n \geqslant 1$$
Gr
∗
(
2
,
C
n
+
4
)
=
SU
(
n
+
2
,
2
)
/
S
(
U
(
n
+
2
)
U
(
2
)
)
,
n
⩾
1
.
Funder
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
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