# Nearly Sasakian manifolds revisited

**Authors:** Beniamino Cappelletti-Montano, Antonio De Nicola, Giulia Dileo, Ivan, Yudin

arXiv: 1904.01516 · 2019-09-13

## TL;DR

This paper offers a new, more conceptual proof that in dimensions greater than five, nearly Sasakian manifolds are equivalent to Sasakian manifolds, simplifying previous understanding.

## Contribution

It presents a self-contained, conceptual proof of the equivalence between nearly Sasakian and Sasakian manifolds in higher dimensions.

## Key findings

- Established the equivalence in dimensions >5
- Provided a new proof approach
- Simplified understanding of nearly Sasakian manifolds

## Abstract

We provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly Sasakian.

## Full text

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## References

6 references — full list in the complete paper: https://tomesphere.com/paper/1904.01516/full.md

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Source: https://tomesphere.com/paper/1904.01516