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Intermediate flexibility of surfaces

H. G. Helfenstein, E. Katz (1972)

Compositio Mathematica

Invariance of $g$ -natural metrics on linear frame bundles

Oldřich Kowalski, Masami Sekizawa (2008)

Archivum Mathematicum

In this paper we prove that each $g$ -natural metric on a linear frame bundle $L M$ over a Riemannian manifold $(M, g)$ is invariant with respect to a lifted map of a (local) isometry of the base manifold. Then we define $g$ -natural metrics on the orthonormal frame bundle $O M$ and we prove the same invariance result as above for $O M$ . Hence we see that, over a space $(M, g)$ of constant sectional curvature, the bundle $O M$ with an arbitrary $g$ -natural metric $\tilde{G}$ is locally homogeneous.

Currently displaying 241 – 260 of 609

Previous Page 13 Next

Displaying 241 – 260 of 609

Intermediate flexibility of surfaces

Invariance of $g$ -natural metrics on linear frame bundles

Invariant submanifolds and their second fundamental forms.

Invariant Submanifolds in Sasakian Manifolds.

Invariant submanifolds of codimension 2 of almost contact manifolds

Invariants in contact topology.

Isometric embedding of Kähler manifolds with nonpositive sectional curvature.

Isometric Immersions in Codimesion Two with Non Negative Curvature.

Isometric Immersions of Constant Curvature Manifolds.

Isometric Immersions of Lorentzian Space Forms.

Isometric Immersions of n-dim. Hyperbolic Spaces into (4n?3)-dim. Standard Spheres and Hyperbolic Spaces.

Isometric immersions of Riemannian products revisited.

Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space.

Isometric Immersions with the Same Gauss Map.

Isometric Reflections with Respect to Submanifolds and the Ricci Operator of Geodesic Spheres.

Isometrische Immersionen der Kodimension 2 von Raumformen.

Isoparametric and Dupin hypersurfaces.

Isoparametrische Hyperflächen in Sphären I.

Isoparametrische Hyperflächen in Sphären. II. Über die Zerlegung der Sphäre in Ballbündel.

Isothermic surfaces and Hopf cylinders.

Currently displaying 241 – 260 of 609