Gravitation, gauge theories and differential geometry

1980/12/01 by Tohru Eguchi, Peter Gilkey, Peter B. Gilkey +1 · 13 citations
Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Deformation (meteorology) #Differential (mechanical device) #Gauge (firearms) #Gauge theory #Integrable system #Isotropy #Mathematical physics #Nonlinear Waves and Solitons #Order (exchange) #Physics #Pure mathematics #Quantum mechanics #Theoretical physics

paper · doi:10.1016/0370-1573(80)90130-1

crossref issued 1980/12/01 · crossref published 1980/12/01 · crossref published-print 1980/12/01 · openalex publication_date 1980/12/01 · crossref created 2002/10/18 · crossref deposited 2019/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/02

Citations

• Quantization of non-Abelian gauge theories
• A PCAC puzzle: π0→γγ in the σ-model
• The Index of Elliptic Operators: III
• Quantum Gravity and World Topology
• On the heat equation and the index theorem
• Construction of instantons
• On the proof of the positive mass conjecture in general relativity
• Quantum Theory of Gravity. I. The Canonical Theory
• Existence of Universal Connections
• Calabi's conjecture and some new results in algebraic geometry
• Characteristic Forms and Geometric Invariants
• Solutions of the Maxwell and Yang-Mills equations associated with hopf fibrings
• Some remarks on the Gribov ambiguity
• On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I
• Quantised singularities in the electromagnetic field,
• The Index of Elliptic Operators: I
• Axial-Vector Vertex in Spinor Electrodynamics
• Invariant Theoretical Interpretation of Interaction
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• The Index of Elliptic Operators: IV
• The Index of Elliptic Operators: II
• The Index of Elliptic Operators: V
• Gauge theories
• Gravitational instantons
• On the heat equation and the index theorem

Cited by

• Constructing D-branes from K-theory
• Classical boundary-value problem in Riemannian quantum gravity and self-dual Taub-NUT–(anti)de Sitter geometries
• D-brane construction for non-Abelian walls
• Hamiltonians generating optimal-speed evolutions
• Intersecting hypersurfaces in dimensionally continued topological density gravitation
• Heterotic warped Eguchi-Hanson spectra with five-branes and line bundles
• New gravitational instanton: shadow of an extra dimension
• FLUCTONS
• Bosonic (p−1)-forms in Einstein-Cartan theory of gravity
• Holographic correspondence in topological superconductors
• Torsion and geometrostasis in nonlinear sigma models
• Connection (principal bundle) [wikipedia]
• Exterior covariant derivative [wikipedia]