Global isometric embeddings of multiple warped product metrics into quadrics

TL;DR

This paper develops a method for smoothly embedding complex warped product manifolds into semi-Euclidean quadrics, extending previous mathematical results in differential geometry.

Contribution

It generalizes existing theorems by constructing isometric embeddings for multiple warped product manifolds into quadrics of semi-Euclidean spaces.

Findings

Constructed smooth isometric embeddings for multiple warped product manifolds

Extended previous results to more general warped product metrics

Provided a unified approach for embeddings into semi-Euclidean quadrics

Abstract

In this paper, we construct smooth isometric embeddings of multiple warped product manifolds in quadrics of semi-Euclidean spaces. Our main theorem generalizes previous results as given by Blanusa, Rozendorn, Henke and Azov.