Quaternionic-contact hypersurfaces

TL;DR

This paper proves that all quaternionic-contact structures can be embedded into quaternionic manifolds and introduces a second fundamental form for such embeddings, advancing understanding of their geometric properties.

Contribution

It establishes the embeddability of quaternionic-contact structures and defines a new second fundamental form for these embeddings, providing novel geometric insights.

Findings

Every quaternionic-contact structure can be embedded in a quaternionic manifold.

A second fundamental form for these embeddings is defined.

The results deepen understanding of quaternionic-contact geometry.

Abstract

We prove that every quaternionic-contact structure can be embedded in a quaternionic manifold and define a second fundamental form for a such embedding.