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

Bartels founded the Centre for Differential Geometry at Dorpat, and remained there until his death in 1836.

worked in differential geometry and mathematical analysis

specializing in differential geometry

working in the field of differential geometry, and especially in Poisson geometry

Most of his work was on the deformation of surfaces

He made fundamental contributions to differential geometry and topology.

differential geometry

who worked on complex analysis and differential geometry

Finsler's thesis work concerned differential geometry

In 1917 he introduced the notion of parallel transport in Riemannian geometry

known for work on deformation theory of structures arising in differential geometry

These formulas are important in the theory of space curves (differential geometry)

In differential geometry, the Frenet-Serret formulas describe the kinematic properties

Serret did important work in differential geometry.

Eugenio Beltrami contributed to work in differential geometry on curves and surfaces

Christoffel published papers on function theory including conformal mappings, geometry and tensor analysis

He studied minimal surfaces and parametrized Enneper's minimal surfaces in 1864.

particularly in differential geometry and minimal surfaces.

specializing in differential geometry, partial differential equations and their applications

and differential geometry

He is most famous as the discoverer of tensor calculus.

Yau is considered one of the major contributors to the development of modern differential geometry and geometric analysis

He also made lasting contributions in differential geometry

specialising in algebraic topology, differential topology and differential geometry

was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection

is an American mathematician who works on differential geometry

As a mathematician, Huygens developed his theory of evolutes and wrote on games of chance and the problem of points in Van Rekeningh in Spelen van Gluck, which Frans van Schooten translated and published as De Ratiociniis in Ludo Aleae (1657).

descriptive and differential geometry

He contributed to spherical trigonometry, differential equations, the optics of microscopes and telescopes, differential geometry, and actuarial science.

notable for his work on minimal surfaces and the distribution of prime numbers

He was the founder of differential geometry in China

was an American mathematician specializing in differential geometry

The map was produced with considerable detail, the projection used spherical trigonometry, truncated power series and differential geometry.

active in the areas of differential geometry, number theory, and non-Euclidean geometry

was a German-American mathematician specializing in convex and differential geometry

differential equations and differential geometry

projective differential geometry

Georges Reeb was a French mathematician who worked in differential topology, differential geometry, topological dynamics and non-standard analysis.

Albert Wangerin was a German mathematician who worked on potential theory, spherical functions and differential geometry.

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.