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Isometry groups of $k$ -curvature homogeneous pseudo-Riemannian manifolds

Gilkey, P., Nikčević, S. (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

In 2005 Gilkey and Nikčević introduced complete $(p + 2)$ -curvature homogeneous pseudo-Riemannian manifolds of neutral signature $(3 + 2 p, 3 + 2 p)$ , which are $0$ -modeled on an indecomposable symmetric space, but which are not $(p + 3)$ -curvature homogeneous. In this paper the authors continue their study of the same family of manifolds by examining their isometry groups and the isometry groups of their $k$ -models.

Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups

Galaev, Anton S. (2006)

Proceedings of the 25th Winter School "Geometry and Physics"

Isospectral, non-isometric Riemannian manifolds

Schueth, Dorothea (1994)

Proceedings of the Winter School "Geometry and Physics"

The author gives a survey of the history of isospectral manifolds that are non-isometric discussing the work of Milnor, Vignéras, Sunada, and de Turck and Gordon. She describes the construction of continuous isospectral deformations as introduced by Gordon, Wilson, De Turck et al. She also discusses the construction of isospectral plane domains due to Gordon, Webb, and Wolpert. Some new examples of isospectral non-isometric manifolds are given.

Isotropy representation of flag manifolds

Alekseevsky, D. V. (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

A flag manifold of a compact semisimple Lie group $G$ is defined as a quotient $M = G / K$ where $K$ is the centralizer of a one-parameter subgroup $exp (t x)$ of $G$ . Then $M$ can be identified with the adjoint orbit of $x$ in the Lie algebra $𝒢$ of $G$ . Two flag manifolds $M = G / K$ and $M^{'} = G / K^{'}$ are equivalent if there exists an automorphism $φ : G \to G$ such that $φ (K) = K^{'}$ (equivalent manifolds need not be $G$ -diffeomorphic since $φ$ is not assumed to be inner). In this article, explicit formulas for decompositions of the isotropy representation for all flag manifolds...

Iterations of linear bounded operators and Kellogg's iterations

Marek, I. (1962)

General Topology and its Relations to Modern Analysis and Algebra

Iterative methods, preconditioning & numerical PDEs (IMET 2004). Preface

Radim Blaheta (2005)

Applications of Mathematics

Jacobi vector fields and geodesic tubes in certain Kähler manifolds

Arvanitoyeorgos, Andreas, Beneki, Christina (2000)

Proceedings of the 19th Winter School "Geometry and Physics"