S. Chion

activity

20182024

most citedMinimal real Kaehler submanifolds

5 citations · 14 across the 9 of their papers we have counts for

collaborators

9 papers

math.DG2024

Non-holomorphic Kaehler submanifolds of Euclidean space

Sergio Chion, Marcos Dajczer

This paper is about non-holomorphic isometric immersions of Kaehler manifolds into Euclidean space $f : M^{2 n} \to R^{2 n + p}$ , $p \leq n - 1$ , with low codimension $p \leq 11$ . In pa…

math.DG2023

Conformal Kaehler submanifolds

L. J. Alías, S. Chion, M. Dajczer

This paper presents two results in the realm of conformal Kaehler submanifolds. These are conformal immersions of Kaehler manifolds into the standard flat Euclidean space. The proo…

math.DG2023★ 1 cited

The second fundamental form of the real Kaehler submanifolds

Marcos Dajczer, Sergio Chion

Let $f : M^{2 n} \to R^{2 n + p}$ , $2 \leq p \leq n - 1$ , be an isometric immersion of a Kaehler manifold into Euclidean space. Yan and Zheng conjectured in \cite{YZ} that if the codime…

math.DG2022★ 1 cited

Kaehler submanifolds of the real hyperbolic space

S. Chion, M. Dajczer

The local classification of Kaehler submanifolds $M^{2 n}$ of the hyperbolic space $H^{2 n + p}$ with low codimension $2 \leq p \leq n - 1$ under only intrinsic assumptions remain…

math.DG2022★ 1 cited

Real Kaehler submanifolds in codimension up to four

S. Chion, M. Dajczer

Let $f : M^{2 n} \to R^{2 n + 4}$ be an isometric immersion of a Kaehler manifold of complex dimension $n \geq 5$ into Euclidean space with complex rank at least $5$ everywhe…

math.DG2021★ 5 cited

Minimal real Kaehler submanifolds

S. Chion, M. Dajczer

We show that generic rank conditions on the second fundamental form of an isometric immersion $f : M^{2 n} \to R^{2 n + p}$ of a Kaehler manifold of complex dimension $n\geq…

math.DG2019★ 2 cited

Conformal Kaehler Euclidean submanifolds

A. de Carvalho, S. Chion, M. Dajczer

Let $f : M^{2 n} \to R^{2 n + ℓ}$ , $n \geq 5$ , denote a conformal immersion into Euclidean space with codimension $ℓ$ of a Kaehler manifold of complex dimension $n$ an…

math.DG2019★ 4 cited

Holomorphicity of real Kaehler submanifolds

A. de Carvalho, S. Chion, M. Dajczer

Let $f : M^{2 n} \to R^{2 n + p}$ denote an isometric immersion of a Kaehler manifold of complex dimension $n \geq 2$ into Euclidean space with codimension $p$ . If $2p\leq 2n…

math.DG2018

Euclidean Hypersurfaces with Genuine Conformal Deformations in Codimension Two

Sergio Chion, Ruy Tojeiro

In this paper we classify Euclidean hypersurfaces $f : M^{n} \to R^{n + 1}$ with a principal curvature of multiplicity $n - 2$ that admit a genuine conformal deforma…