Differential Geometry

Gauss mentioned to Bolyai's father, when shown the younger Bolyai's work, that he had developed such a geometry several years before, though he did not publish.

Manifolds can be equipped with additional structure. One important class of manifolds are differentiable manifolds; their differentiable structure allows calculus to be done.

a British-Lebanese mathematician specialising in geometry

Richard Hamilton was an American mathematician famed for his important contributions to proving the Poincare Conjecture.

Bochner's formula is a statement relating harmonic functions on a Riemannian manifold

In differential geometry, the torsion tensor is a tensor that is associated to any affine connection.

In differential geometry, Mikhail Gromov's filling area conjecture asserts that the hemisphere has minimum area among the orientab

differential geometry

specializing in topology and differential geometry

important contributions to the differential geometry of surfaces

He completed his Ph.D. in differential geometry from the University of Leiden in 1946 under the supervision of Willem van der Woude.

In mathematics he is also credited with Clairaut's theorem on mixed partial derivatives, Clairaut's equation, and Clairaut's relation in differential geometry. == Biography == === Childhood and early life === Clairaut was born in Paris, France, to Jean-Baptiste and Catherine Petit Clairaut.

Willi Ludwig August Rinow (February 28th, 1907 in Berlin, March 29th, 1979 in Greifswald) was a German mathematician who specialized in differential geometry and topology.

In mathematics, the Cartan-Hadamard conjecture is a fundamental problem in Riemannian geometry and geometric measure theory which states that the classical isoperimetric inequality may be generalized to spaces of nonpositive sectional curvature, known as Cartan-Hadamard manifolds.

Tensor fields are used in differential geometry, algebraic geometry, general relativity, in the analysis of stress and strain in material object, and in numerous applications in the physical sciences.

The Penrose singularity theorem is a theorem in semi-Riemannian geometry and its general relativistic interpretation predicts a gravitational singularity in black hole formation.

who worked on group theory and on differential geometry

Calculus and Analysis Differential Geometry

Calculus and Analysis Differential Geometry

Calculus and Analysis Differential Geometry

the conjecture claims that on a compact contact manifold, its Reeb vector field should carry at least

In the mathematical theory of minimal surfaces, the double bubble theorem states that the shape

Sergei Bernstein was a Ukrainian mathematician who made important contributions to partial differential equations, differential geometry, probability theory and approximation theory.

Wilhelm Blaschke was an Austrian mathematician whose research was on various aspects of geometry. He also initiated the study of topological differential geometry.

Gaspard Monge is considered the father of differential geometry because of his work Application de l'analyse à la géométrie where he introduced the concept of lines of curvature of a surface in 3 -space.

Joseph Plateau was a Belgian mathematician best known for Plateau's problem on surfaces of minimal area.