A deformation in families of Hodge-de Rham theory (Q1876815)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A deformation in families of Hodge-de Rham theory |
scientific article; zbMATH DE number 2093941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A deformation in families of Hodge-de Rham theory |
scientific article; zbMATH DE number 2093941 |
Statements
A deformation in families of Hodge-de Rham theory (English)
0 references
20 August 2004
0 references
This paper reports a deformation of the Levi-Civita superconnection associated to a family of de Rham-Hodge operators, whose curvature is a family of second order hypoelliptic operators along the fibers of the cotangent bundle of the given fibration. Two identities about the square of superconnection and the hypoelliptic Laplacian on cotangent bundle is announced respectively.
0 references
Levi-Civita superconnection
0 references
de Rham-Hodge operator
0 references
curvature
0 references
hypoelliptic operator
0 references
0 references
