Displaying similar documents to “Tangent bundle of the hypersurfaces in a Euclidean space.”

Higher order connections.

Eastwood, Michael G. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds

Ülo Lumiste (2002)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible.

On topological invariants of vector bundles

Zbigniew Szafraniec (1992)

Annales Polonici Mathematici

Similarity:

Let E → W be an oriented vector bundle, and let X(E) denote the Euler number of E. The paper shows how to calculate X(E) in terms of equations which describe E and W.