Isometric Embedding of Riemannian Manifolds in Euclidean Spaces

A Comprehensive Introduction to Differential Geometry.

1973 • 3,722 citations

Fully Nonlinear Elliptic Equations

1995 • 1,450 citations

The inverse function theorem of Nash and Moser

1982 • 1,204 citations

The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

1984 • 772 citations

Extrinsic Geometry of Convex Surfaces

1973 • 570 citations

A rapidly convergent iteration method and non-linear partial differential equations - I

1966 • 530 citations

The Weyl and Minkowski problems in differential geometry in the large

1953 • 424 citations

BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN

1984 • 389 citations

Minimal immersions of surfaces in Euclidean spheres

1967 • 384 citations

Counterexample to a conjecture of H. Hopf

1986 • 380 citations

On the regularity of the solution of the n‐dimensional Minkowski problem

1976 • 290 citations

Complete Constant Mean Curvature Surfaces in Euclidean Three-Space

1990 • 280 citations

On Spherical Image Maps Whose Jacobians Do Not Change Sign

1959 • 268 citations

An abstract form of the nonlinear Cauchy-Kowalewski theorem

1972 • 225 citations

Degenerate elliptic-parabolic equations of second order

1967 • 223 citations

ON THE TOTAL CURVATURE OF IMMERSED MANIFOLDS

1996 • 212 citations

On nonlinear elliptic partial differential equations and hölder continuity

1953 • 195 citations

Compact constant mean curvature surfaces in Euclidean three-space

1991 • 190 citations

Some Theorems on the Isometric Imbedding of Compact Riemann Manifolds in Euclidean Space

1952 • 172 citations

Hyperbolic Partial Differential Equations

1983 • 169 citations

Plateau's problem and the calculus of variations

1988 • 133 citations

Complete embedded minimal surfaces of finite total curvature

1997 • 111 citations

The local isometric embedding in R³ of two‐dimensional riemannian manifolds with gaussian curvature changing sign cleanly

1986 • 87 citations

The Weyl problem with nonnegative Gauss curvature

1994 • 76 citations

The local isometric embedding in $\mathbf{R}^3$ of 2-dimensional Riemannian manifolds with nonnegative curvature

1985 • 73 citations

On differential geometry in the large. I. Minkowski’s problem

1938 • 72 citations

Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.

1970 • 68 citations

On isometric immersions in Euclidean space of manifolds with non-negative sectional curvatures

1965 • 68 citations

On the Asymptotic Curves of a Surface

1951 • 51 citations

Local isometric embedding of surfaces with Gauss curvature changing sign stably across a curve

2005 • 32 citations

On the Embedding Problem in Differential Geometry

1950 • 24 citations

Gaussian Curvature and Local Embedding

1951 • 24 citations

Constant mean curvature immersions of Enneper type

1992 • 23 citations

ISOMETRIC IMMERSIONS OF DOMAINS OF $n$-DIMENSIONAL LOBACHEVSKY SPACE IN $(2n - 1)$-DIMENSIONAL EUCLIDEAN SPACE

1981 • 18 citations

Dirichlet problems for general Monge-Ampere equations

1992 • 16 citations

DARBOUX EQUATIONS AND ISOMETRIC EMBEDDING OF RIEMANNIAN MANIFOLDS WITH NONNEGATIVE CURVATURE IN R³

1999 • 11 citations

Réalisations globalement régulières de disques strictement convexes dans les espaces d'Euclide et de Minkowski par la méthode de Weingarten

1988 • 8 citations