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Latest papers

1. Two-step nilpotent Lie algebras obtained by quivers and geometric structures math.DG · 19 Oct · 2 hits

   …without cycles. These latter examples can have arbitrarily high degrees of nilpotency, and admit Riemannian Ricci soliton metrics. In this paper, we study nilpotent Lie algebras obtained by finite quivers without…

2. Tensorial pinching by deforming curvature cones in higher codimension mean curvature flow math.DG · 19 Oct · 1 hit

   …a pinching method for mean curvature flow in higher codimension. Motivated by pinching constructions for Ricci flow, the method uses a nonlinear deformation of the second fundamental form. We introduce two…

3. Infinitesimally polar Killing foliations via geometric resolutions math.DG · 18 Oct · 1 hit

   …Further applications include fundamental-group growth bounds and closedness under nonpositive transverse Ricci curvature that is negative definite at one regular point.

4. K\"ahler-Ricci Flow is Symplectic Deflation plus an Exact Symplectic Deformation math.DG · 17 Oct · 4 hits

   We demonstrate that K\"ahler-Ricci flow on a Fano surface decomposes as a symplectic deflation along a plurianticanonical divisor plus an…

5. Interior gradient estimates for mean curvature equations on Riemannian manifolds math.AP · 17 Oct · 1 hit

   …u|_g^2}} \right) =f(x,\nabla u) \] on a complete Riemannian manifold of dimension $n\ge2$. Under a Ricci curvature lower bound and a Hessian comparison for the distance function, we derive polynomial and…

6. Equivariant Moment Maps and the Ricci Cocycle in Weighted Fujiki--Donaldson Theory math.DG · 17 Oct · 2 hits

   …density incorporating phase comparison via a connection. The key step in the proof is to represent the Ricci cocycle as the coboundary of a continuous cochain constructed from $r_h^0$. We also consider the action…

7. Riemannian Submersion whose Total Manifold admits an Almost Hyperbolic Ricci Soliton math.GM · 17 Oct · 6 hits

   …of a Riemannian submersion for which the total manifold is endowed with hyperbolic and almost hyperbolic Ricci solitons. We establish conditions under which the fibers of the submersion admit hyperbolic and almost…

8. Spinors, Doppelg\"angers and the Non-Perturbative Classical Double Copy hep-th · 16 Oct · 1 hit

   …we derive exact relations mapping the gauge field-strength spinors to the scalar-curvature and trace-free Ricci components of the gravitational curvature. These relations retain nontrivial curvature information…