V. Apostolov

Geometry and Topology · 2000–2009

A researcher in the Science corpus: 9 papers; trusts 19 researchers and is trusted by 12 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 61 citations into it; #1,947 of 7,422 by trust here, #1,030 by citations
• Applied Mathematics — 47 citations into it; #1,929 of 7,620 by trust here, #1,077 by citations
• Mathematical Physics — 21 citations into it
• Astronomy and Astrophysics — 16 citations into it
• Nuclear and High Energy Physics — 7 citations into it

Whom V. Apostolov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Simon Donaldson
2. N. Hitchin
3. Robert L. Bryant
4. G'abor Sz'ekelyhidi
5. U. Semmelmann
6. J. Ross
7. D. Calderbank
8. J. Stoppa
9. Xiuxiong Chen
10. C. LeBrun

Who trusts V. Apostolov overall

1. M. Gualtieri
2. Abdellah Lahdili
3. D. Calderbank
4. G'abor Sz'ekelyhidi
5. A. Dancer
6. P. Gauduchon
7. I. Agricola
8. S. Paul
9. Anna Fino
10. Christina W. Tønnesen-Friedman

Papers from V. Apostolov's perspective

Ordered by how strongly the researchers V. Apostolov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Scalar Curvature and Stability of Toric Varieties
2. A study of the Hilbert-Mumford criterion for the stability of projective varieties
3. Extremal Kähler metrics
4. K-stability of constant scalar curvature Kähler manifolds
5. Kahler-Ricci solitons on toric manifolds with positive first Chern class
6. Uniqueness of Kähler-Ricci solitons
7. Interior estimates for solutions of Abreu's equation
8. Constant Scalar Curvature Metrics on Toric Surfaces
9. Generalized Calabi-Yau manifolds
10. Scalar curvature and projective embeddings, II

Their papers

• Extremal Kähler metrics on projective bundles over a curve (2009) — 69 citations
• Generalized Kähler Manifolds, Commuting Complex Structures, and Split Tangent Bundles (2007) — 80 citations
• Hamiltonian 2-forms in Kähler geometry, IV weakly Bochner-flat Kähler manifolds (2005) — 50 citations
• Hamiltonian 2-forms in Kähler geometry, III extremal metrics and stability (2005) — 166 citations
• Hamiltonian 2-forms in Kähler geometry, II Global Classification (2004) — 120 citations
• The curvature and the integrability of almost-Kahler manifolds: a survey (2003) — 72 citations
• Kähler Reduction of Metrics with Holonomy G2 (2003) — 71 citations
• Hamiltonian 2-Forms in Kähler Geometry, I General Theory (2002) — 151 citations
• A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES (2000) — 68 citations