Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$

Abstract In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the $4$ -dimensional model space $\mathrm {Sol}_1^4$ .

Authors

Zlatko Erjavec (ORCID: https://orcid.org/0000-0002-9402-1069)
Jun-ichi Inoguchı (ORCID: https://orcid.org/0000-0002-6584-5739)

Institutions

University of Zagreb (HR)
Hokkaido University (JP)

Publication Details

Journal: Glasgow Mathematical Journal
Published: 2025-04-03
DOI: https://doi.org/10.1017/s0017089525000102
Citations: 2
Primary Topic: Geometric Analysis and Curvature Flows
Type: article
Field-Weighted Citation Impact: 7.45

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$

Zlatko Erjavec, Jun-ichi Inoguchı

Apr 3, 2025

2 citations

Glasgow Mathematical Journal

Geometric Analysis and Curvature Flows

7.45

article

Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$

Zlatko Erjavec, Jun-ichi Inoguchı

April 3, 2025article en

2 citations

Abstract

Abstract In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the $4$ -dimensional model space $\mathrm {Sol}_1^4$ .

Glasgow Mathematical JournalVol. 67(3)

University of Zagreb (HR), Hokkaido University (JP)

Openalex Percentile: Top 4%

Geometric Analysis and Curvature Flows

7.45

DOI Source OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$ — Zlatko Erjavec, Jun-ichi Inoguchı · Glasgow Mathematical Journal (2025) | TGRS Research Map | TGRS