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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “H-system”

On the existence of degenerate solutions of the two-dimensional

H

-systemmath.AP

Degenerate solutions found in 2D H-system bubbles with higher degrees.

problem Existence of degenerate solutions in H-system bubbles with degree ≥ 3.

method Algebraic characterization of degenerate bubbles.

result Degenerate solutions can exist for H-system bubbles with degree ≥ 3.

H-system degenerate solutions bubbles degree degenerate

2024-09-26abs ↗pdf ↗

Finite-time singularity formation for the heat flow of the

H

-systemmath.AP

Researchers found a new type of singularity in surface evolution equations.

problem Finite-time singularity formation in surface evolution equations.

method Constructed first example of finite time blow-up solutions for the heat flow of the H-system.

result Singularity forms as a scaled least energy H-bubble with decoupled linearized operators.

finite-time singularity H-system surface evolution blow-up solutions H-bubble

2023-11-24abs ↗pdf ↗

A remark on compact H-surfaces into R^3math.AP

Using the functional associated with the optimal Wente inequality for pairs of functions on 2-dimensional domains, we show the existence of solutions to the H-system on an annulus satisfying Neumann boundary conditions.

2018-05-29abs ↗pdf ↗

Almost complex surfaces in the nearly Kähler

S^3\times S^3

math.DG

In this paper almost complex surfaces of the nearly Kähler $S^3\times S^3$ are studied in a systematic way. We show that on such a surface it is possible to define a global holomorphic differential, which is induced by an almost product structure on the nearly Kähler $S^3\times S^3$ . We also find a correspondence betwe…

2012-08-03abs ↗pdf ↗