Real K\'ahler Submanifolds in Codimension $6$

Autor: de Carvalho, Alcides, Guimarães, Felippe
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We show that a real K\"ahler submanifold in codimension $6$ is essentially a holomorphic submanifold of another real K\"ahler submanifold in lower codimension if the second fundamental form is not sufficiently degenerated. We also give a shorter proof of this result when the real K\"ahler submanifold is minimal, using recent results about isometric rigidity.
Databáze: arXiv