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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.

169,341 papers · 148 categories

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3 results for “bi-f-harmonic”

f-Biharmonic and bi-f-harmonic submanifolds of generalized space formsmath.DG

Study f-biharmonic and bi-f-harmonic submanifolds in complex and Sasakian space forms.

problem Characterize f-biharmonic and bi-f-harmonic submanifolds in complex and Sasakian space forms.

method Prove necessary and sufficient conditions for f-biharmonicity and bi-f-harmonicity in general and specific cases.

result Obtain non-existence results for f-biharmonic and bi-f-harmonic submanifolds.

f-biharmonic bi-f-harmonic submanifolds generalized space forms complex space forms

2016-09-27abs ↗pdf ↗

Some remarks on bi-f-harmonic maps and f-biharmonic mapsmath.DG

The paper shows bi-f-harmonic and f-biharmonic maps are equivalent and explores their properties.

problem Characterizing bi-f-harmonic and f-biharmonic maps.

method Analyzing maps from conformal manifolds and using energy bounds.

result Bi-f-harmonic and f-biharmonic maps are equivalent and have specific properties.

bi-f-harmonic maps f-biharmonic maps conformal manifolds energy bounds non-positively curved manifolds

2018-08-07abs ↗pdf ↗

Bi-

f

-harmonic curves and hypersurfacesmath.DG

Study on bi- $f$ -harmonic curves and hypersurfaces extending harmonic and biharmonic concepts.

problem Extending harmonic and biharmonic concepts to new geometric structures.

method Derive bi-

f

-harmonic equations for various geometric settings.

result New equations for bi-

f

-harmonic maps in different geometric contexts.

harmonic maps biharmonic maps Euclidean space Riemannian manifolds unit sphere

2018-05-08abs ↗pdf ↗