The General Kastler-Kalau-Walze Type Theorems About Dirac Operators With Torsion

Posted on:2021-05-12

Degree:Master

Type:Thesis

Country:China

Candidate:L Y Xia

Full Text:PDF

GTID:2370330626463423

Subject:geometry

Abstract/Summary:

PDF Full Text Request

In this paper,we establish two kinds of Kastler-Kalau-Walze type theorems for any even dimensional manifolds with boundary about Dirac operators with torsion,and give two kinds of simple theoretical explanations to Einstein-Hilbert action for any even dimensional manifolds with boundary.

Keywords/Search Tags:

Dirac operators with torsion, Noncommutative residue, lower-dimensional volumes, any even dimensional manifolds

PDF Full Text Request

Related items

1	The Noncommuntative Residue For Manifolds With Boundary And Dirac Operators With Torsion
2	A Kastler-Kalau-Walze Type Theorem About Dirac Operators For High-Dimensional Manifolds With Boundary
3	Noncommutative Residue And Dirac Operators For Manifolds With The Conformal Robertson-Walker Metric
4	A Kastler-Kalau-Walze Type Theorem For 7-dimensional Manifolds With Boundary About Witten Deformation
5	The Kastler-kalau-walze Type Theorem About Witten Deformation For Manifolds With Boundary
6	The Kastler-Kalau-Walze Type Theorem For Witten Deformation
7	Nonminimal De Rham-hodge Operators And Non-commutative Residue
8	The Noncommutative Residue And Gauss-bonnet Theorems
9	The Research On One-dimensional Dirac Operator With Periodic Boundary Condition
10	Three-Dimensional Geological Modeling Of TianXinShi Residue Soil Field And The Stability Analysis Under The Effect Of Three-Dimensional Space