The linearized system for isometric embeddings and its characteristic variety

Qing Han; Marcus Khuri

doi:10.1016/j.aim.2011.11.011

The linearized system for isometric embeddings and its characteristic variety

Qing Han
, Marcus Khuri

Mathematics

University of Notre Dame

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper we prove a conjecture of Bryant, Griffiths, and Yang concerning the characteristic variety for the determined isometric embedding system. In particular, we show that the characteristic variety is not smooth for any dimension greater than 4. This is accomplished by introducing a smaller yet equivalent linearized system, in an appropriate way, which facilitates analysis of the characteristic variety.

Original language	English
Pages (from-to)	263-293
Number of pages	31
Journal	Advances in Mathematics
Volume	230
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2011.11.011
State	Published - May 1 2012

Keywords

Characteristic variety
Isometric embeddings

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10.1016/j.aim.2011.11.011

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abstract = "In this paper we prove a conjecture of Bryant, Griffiths, and Yang concerning the characteristic variety for the determined isometric embedding system. In particular, we show that the characteristic variety is not smooth for any dimension greater than 4. This is accomplished by introducing a smaller yet equivalent linearized system, in an appropriate way, which facilitates analysis of the characteristic variety.",

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AU - Han, Qing

AU - Khuri, Marcus

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AB - In this paper we prove a conjecture of Bryant, Griffiths, and Yang concerning the characteristic variety for the determined isometric embedding system. In particular, we show that the characteristic variety is not smooth for any dimension greater than 4. This is accomplished by introducing a smaller yet equivalent linearized system, in an appropriate way, which facilitates analysis of the characteristic variety.

KW - Characteristic variety

KW - Isometric embeddings

UR - https://www.scopus.com/pages/publications/84858332738

U2 - 10.1016/j.aim.2011.11.011

DO - 10.1016/j.aim.2011.11.011

M3 - Article

AN - SCOPUS:84858332738

SN - 0001-8708

VL - 230

SP - 263

EP - 293

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

The linearized system for isometric embeddings and its characteristic variety

Abstract

Keywords

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