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On surfaces of finite total curvature

Data up to Jan 2025

Published1995
Citations102
References36

Total Citations Per Year

Abstract

References (36)

Foundations of Differential Geometry

1963 • 6,618 citations

Geometric Measure Theory

1988 • 5,689 citations

Théorie des distributions

1966 • 3,724 citations

Multiple Integrals in the Calculus of Variations

1966 • 3,114 citations

Hp spaces of several variables

1972 • 2,828 citations

Groups and Geometric Analysis

2000 • 2,242 citations

Singular Integrals and Differentiability Properties of Functions (PMS-30)

1971 • 1,234 citations

Compensated compactness and Hardy spaces

1993 • 823 citations

Connections withL P bounds on curvature

1982 • 653 citations

A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

1982 • 584 citations

On subharmonic functions and differential geometry in the large

1958 • 483 citations

Boundary regularity and the Dirichlet problem for harmonic maps

1983 • 472 citations

An existence theorem for surfaces of constant mean curvature

1969 • 346 citations

Partial regularity for stationary harmonic maps into spheres

1991 • 275 citations

Global Properties of Minimal Surfaces in E 3 and E n

1964 • 247 citations

Total curvature in Riemannian geometry

1982 • 224 citations

On the singular set of stationary harmonic maps

1993 • 219 citations

Multiple solutions of H‐systems and Rellich's conjecture

1984 • 213 citations

Regularity properties of deformations with finite energy

1988 • 208 citations

Higher integrability of determinants and weak convergence in L1.

1990 • 190 citations

Complete minimal surfaces in Euclideann-space

1967 • 175 citations

Complete surfaces with finite total curvature

1991 • 86 citations

Chord-arc surfaces with small constant, I

1991 • 82 citations

Complete surfaces of finite total curvature

1987 • 81 citations

Total curvatures and minimal areas of complete surfaces

1985 • 58 citations

Chord-arc surfaces with small constant. II. Good parameterizations

1991 • 46 citations

Surfaces with generalized second fundamental form in $L^2$ are Lipschitz manifolds

1994 • 45 citations

Remarks on oscillations and Stokes' equation

2008 • 42 citations

Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity

1994 • 23 citations

Total Curvatures and Minimal Areas of Complete Open Surfaces

1985 • 23 citations

Integral Geometry in Homogeneous Spaces

1966 • 17 citations

Hypersurfaces in R n Whose Unit Normal has Small BMO Norm

1991 • 15 citations

A remark on the nonuniqueness of tangent cones

1986 • 9 citations

Shorter Notes: A Remark on the Nonuniqueness of Tangent Cones

1986 • 2 citations

The Nonexistence of Some Noncompact Constant Mean Curvature Surfaces

1994 • 1 citations

The nonexistence of some noncompact constant mean curvature surfaces

1994 • 1 citations

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