105 citations · 1.1k across the 61 of their papers we have counts for
61 papers
Algebraic Properties of Riemannian Manifolds
Youngjoo Chung, Chi-Ok Hwang, Hyun Seok Yang
Algebraic properties are explored for the curvature tensors of Riemannian manifolds, using the irreducible decomposition of curvature tensors. Our method provides a powerful tool t…
Anatomy of Einstein Manifolds
Jongmin Park, Jaewon Shin, Hyun Seok Yang
An Einstein manifold in four dimensions has some configuration of Yang-Mills instantons and anti-instantons associated with it. This fact is based on the fundam…
Expanding Universe and Dynamical Compactification Using Yang-Mills Instantons
Kyung Kiu Kim, Seoktae Koh, Hyun Seok Yang
We consider an eight-dimensional Einstein-Yang-Mills theory to explore whether Yang-Mills instantons formed in extra dimensions can induce the dynamical instability of our four-dim…
Hermitian-Einstein metrics from noncommutative instantons
Kentaro Hara, Akifumi Sako, Hyun Seok Yang
We show that Hermitian-Einstein metrics can be locally constructed by a map from (anti-)self-dual two-forms on Euclidean to symmetric two-tensors introduced in "Gra…
Quantized Kähler Geometry and Quantum Gravity
Jungjai Lee, Hyun Seok Yang
It has been often observed that Kähler geometry is essentially a gauge theory whose field strength is identified with the Kähler form. However it has been pursued neither se…
Dark Energy and Dark Matter in Emergent Gravity
Jungjai Lee, Hyun Seok Yang
Emergent gravity can be applied to a large matrix model by considering the vacuum of a noncommutative (NC) Coulomb branch that satisfies the Heisenberg algebra. Due to the fact…