This is a corrected version of my paper published in Journal of Geometry and Physics 25(1998), 205-226. I added missing cases to the classification theorem 1.1, namely the SO(n + 1)-manifold SO(n + 2)/(SO(n) × SO(2)), the SO(3)-manifold CP 2 and the SU(3)-manifold CP 1 × CP . Preface Christopher T. Woodward, in his review MR1619843 in MathSciNet, pointed out a gap in the classification of compa...

Abstract In five dimensions we consider a general shift symmetric and parity preserving scalar tensor action that contains up to second order covariant derivatives of the field. A rotating stealth black hole solution is constructed where metric given by Myers–Perry spacetime with equal momenta field identified Hamilton–Jacobi potential. This nontrivial has an extra hair associated rest mass tes...

A bstract We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure the space is AdS 2 × S CY 1 fibered over an interval. These can be related through double analytical continuations with those recently constructed in [1]. Both types are however dual to very different superconformal quantum mechanics. show that our fit locally class 2d Riem...

In this paper, we consider a closed Riemannian manifold $$M^{n+1}$$ with dimension $$3\le n+1\le 7$$ , and compact Lie group G acting as isometries on M cohomogeneity at least 3. Suppose the union of non-principal orbits $$M{\setminus } M^{reg}$$ is smooth embedded submanifold most $$n-2$$ . Then for any $$c\in \mathbb {R}$$ show existence nontrivial, smooth, closed, almost embedded, G-invarian...