Abstract
In this article, we study the non-degeneracy of 2-forms (skew symmetric (0, 2)-tensor) a along the Pfaffian of α. We consider a symplectic vector space V with a non-degenerate skew symmetric (0, 2)-tensor ω, and derive various properties of the Pfaffian of α. As an application we show the non-degenerate skew symmetric (0, 2)-tensor ω has a property of rigidity that it is determined by its exterior power.
Original language | English |
---|---|
Article number | 280 |
Journal | Symmetry |
Volume | 12 |
Issue number | 2 |
DOIs | |
State | Published - 1 Feb 2020 |
Bibliographical note
Publisher Copyright:© 2020 by the authors.
Keywords
- Non-degeneracy
- Pfaffian
- Symplectic space