metriplectic

As a noun tensor

is tensor.

As an adjective metriplectic is

(mathematics) describing a structure, on a smooth manifold, that consists of a pair of tensors: a skew-symmetric poisson tensor and a symmetric metric tensor.

As a noun pair

is two similar or identical things taken together; often followed by of.

As a verb pair

is to group into sets of two or pair can be (obsolete) to impair.

As an adjective metriplectic is

(mathematics) describing a structure, on a smooth manifold, that consists of a pair of tensors: a skew-symmetric poisson tensor and a symmetric metric tensor.

In mathematics|lang=en terms the difference between manifold and metriplectic

is that manifold is (mathematics) a topological space that looks locally like the "ordinary" euclidean space $\backslash mathbb\{r\}^n$ and is hausdorff while metriplectic is (mathematics) describing a structure, on a smooth manifold, that consists of a pair of tensors: a skew-symmetric poisson tensor and a symmetric metric tensor.

As adjectives the difference between manifold and metriplectic

is that manifold is various in kind or quality, diverse while metriplectic is (mathematics) describing a structure, on a smooth manifold, that consists of a pair of tensors: a skew-symmetric poisson tensor and a symmetric metric tensor.

As a noun manifold

is (now historical) a copy made by the manifold writing process.

As an adverb manifold

is many times; repeatedly.

As a verb manifold

is to make manifold; multiply.

As adjectives the difference between smooth and metriplectic

is that smooth is having a texture that lacks friction not rough while metriplectic is (mathematics) describing a structure, on a smooth manifold, that consists of a pair of tensors: a skew-symmetric poisson tensor and a symmetric metric tensor.

As an adverb smooth

is smoothly.

As a noun smooth

is something that is , or that goes smoothly and easily.

As a verb smooth

is to make smooth or even.

As adjectives the difference between structure and metriplectic

is that structure is structured while metriplectic is (mathematics) describing a structure, on a smooth manifold, that consists of a pair of tensors: a skew-symmetric poisson tensor and a symmetric metric tensor.

As a verb structure

is .