Riemannian Geometry of Contact and Symplectic Manifolds
Citations
10 citations
Cites methods from "Riemannian Geometry of Contact and ..."
...Since characteristic surfaces are defined via contact fields, we begin by providing a useful characterization of contact vector fields (see also [41] and [13] p....
[...]
10 citations
Cites background from "Riemannian Geometry of Contact and ..."
...An indefinite almost contact metric manifold M is called an indefinite Cosymplectic manifold if [ 2 ],...
[...]
10 citations
Additional excerpts
...[2, 3]....
[...]
10 citations
10 citations
Cites background from "Riemannian Geometry of Contact and ..."
...A 1-dimensional integral submanifold of a Sasakian manifold (M2m+1, φ, ξ, η, 1) is called a Legendre curve of M [3]....
[...]
...In order to obtain explicit examples, we will first need to recall some notions about the Sasakian space form R2m+1(−3) [3]: Let us consider M = R2m+1 with the standard coordinate functions ( x1, ....
[...]
...form a 1-orthonormal basis and the Levi-Civita connection is calculated as ∇Xi X j = ∇Xm+i Xm+ j = 0,∇Xi Xm+ j = δi jξ,∇Xm+i X j = −δi jξ, ∇Xiξ = ∇ξXi = −Xm+i,∇Xm+iξ = ∇ξXm+i = Xi, (see [3])....
[...]