• Corpus ID: 236957331

# Almost quasi-Sasakian manifolds equipped with skew-symmetric connection

@inproceedings{Galaev2021AlmostQM,
title={Almost quasi-Sasakian manifolds equipped with skew-symmetric connection},
author={Sergey V. Galaev},
year={2021}
}
On a sub-Riemannian manifold, a connection with skew-symmetric torsion is defined as the unique connection from the class of N -connections that has this property. Two cases are considered separately: sub-Riemannian structure of even rank, and sub-Riemannian structure of odd rank. The resulting connection, called the canonical connection, is not a metric connection in the case when the sub-Riemannian structure is of even rank. The structure of an almost quasi-Sasakian manifold is defined as an…

## References

SHOWING 1-9 OF 9 REFERENCES

### ∇N-EINSTEIN ALMOST CONTACT METRIC MANIFOLDS

• S. Galaev
• Mathematics
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika
• 2021
On an almost contact metric manifold M, an N-connection ∇N defined by the pair (∇,N), where ∇ is the interior metric connection and N: TМ → TM is an endomorphism of the tangent bundle of the manifold

### EINSTEIN MANIFOLDS WITH SKEW TORSION

• Mathematics
• 2012
Abstract. This paper is devoted to the first systematic investigation of manifolds that are Einstein for a connection ∇ with skew symmetric torsion. We derive the Einstein equation from a variational

The notions of an admissible pseudo-Kählerian structure and of an admissible hypercomplex pseudo-Hermitian structure are introduced. On the distribution D of an almost contact structure (M, \vec

### Parallel spinors and connections with skew-symmetric torsion in string theory

• Mathematics
• 2001
We describe all almost contact metric, almost hermitian and G2-structures admitting a connection with totally skew-symmetric torsion tensor, and prove that there exists at most one such connection.

### ALMOST CONTACT METRIC STRUCTURES DEFINED BY CONNECTION OVER DISTRIBUTION

• Mathematics
• 2011
In this paper, the notion of intrinsic geometry of an almost contact metric manifold D is introduced and studied. Using this and the extended connection on D as on the total space of a vector bundle,

### Einstein almost contact metric manifolds

• Bulletin of Tomsk State University. Mathematics and Mechanics 2021,
• 2021

• J. Math
• 2014

### Intrinsic geometry of almost contact Kählerian manifolds

• Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
• 2015