The Fischer–Marsden conjecture and contact geometry

Certain conditions for a Riemannian manifold to be isometric with a sphere

Morio Obata · Journal of the Mathematical Society of Japan · 1962 · 711 citations · Full text

Natural Sciences, Anatomy, Relativity +10

Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations

Justin Corvino · Communications in Mathematical Physics · 2000 · 478 citations

Natural Sciences, Mathematics, Physics +16

Contact metric manifolds satisfying a nullity condition

David E. Blair, Themis Koufogiorgos, Basil J. Papantoniou · Israel Journal of Mathematics · 1995 · 351 citations

Natural Sciences, Mathematics, Topology +8

The topology of contact Riemannian manifolds

Shûkichi Tanno · Illinois Journal of Mathematics · 1968 · 231 citations · Full text

Natural Sciences, Mathematics, Geometry +10

A full classification of contact metric $(k,\mu)$-spaces

Eric Boeckx · Illinois Journal of Mathematics · 2000 · 132 citations · Full text

Natural Sciences, Mathematics, Geometry +5