Manifolds admitting stable forms

Hông-Van Lê; Martin Panák; Jiří Vanžura

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 1, page 101-117
  • ISSN: 0010-2628

Abstract

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In this note we give a direct method to classify all stable forms on ℝ n as well as to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.

How to cite

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Lê, Hông-Van, Panák, Martin, and Vanžura, Jiří. "Manifolds admitting stable forms." Commentationes Mathematicae Universitatis Carolinae 49.1 (2008): 101-117. <http://eudml.org/doc/250449>.

@article{Lê2008,
abstract = {In this note we give a direct method to classify all stable forms on $\mathbb \{R\}^n$ as well as to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.},
author = {Lê, Hông-Van, Panák, Martin, Vanžura, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {stable forms; automorphism groups; stable forms; automorphism groups},
language = {eng},
number = {1},
pages = {101-117},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Manifolds admitting stable forms},
url = {http://eudml.org/doc/250449},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Lê, Hông-Van
AU - Panák, Martin
AU - Vanžura, Jiří
TI - Manifolds admitting stable forms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 1
SP - 101
EP - 117
AB - In this note we give a direct method to classify all stable forms on $\mathbb {R}^n$ as well as to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.
LA - eng
KW - stable forms; automorphism groups; stable forms; automorphism groups
UR - http://eudml.org/doc/250449
ER -

References

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