277 citations · 1.6k across the 89 of their papers we have counts for
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On constant higher order mean curvature hypersurfaces in
Barbara Nelli, Giuseppe Pipoli, Giovanni Russo
We classify hypersurfaces with rotational symmetry and positive constant -th mean curvature in . Specific constant higher order mean curvature hype…
GKM actions on cohomogeneity one manifolds
Oliver Goertsches, Eugenia Loiudice, Giovanni Russo
We consider compact manifolds with a cohomogeneity one action of a compact Lie group such that the orbit space is a closed interval. For a maximal torus of , w…
The Einstein condition on nearly Kähler six-manifolds
Giovanni Russo
We review basic facts on the structure of nearly Kähler manifolds, focussing in particular on the six-dimensional case. A self-contained proof that nearly Kähler six-manifolds are…
Multi-moment maps on nearly Kähler six-manifolds
Giovanni Russo
We study multi-moment maps induced by a two-torus action on the four homogeneous nearly Kähler six-manifolds. Their explicit expression and stationary orbits are derived. The confi…
Nearly Kähler six-manifolds with two-torus symmetry
Giovanni Russo, Andrew Swann
We consider nearly Kähler 6-manifolds with effective 2-torus symmetry. The multi-moment map for the -action becomes an eigenfunction of the Laplace operator. At regular values…