# Certain results on (LCS)n-manifolds

**Authors:** Vishnuvardhana. S. V., Venkatesha, S.K. Hui

arXiv: 1901.06873 · 2019-01-23

## TL;DR

This paper investigates specific geometric properties and structures, such as Ricci recurrence and conformal Ricci solitons, on (LCS)n-manifolds, contributing to the understanding of their curvature and geometric behavior.

## Contribution

It introduces new results on semi-generalized recurrent and Ricci soliton structures within (LCS)n-manifolds, expanding the theoretical framework of these geometric entities.

## Key findings

- Characterization of semi-generalized recurrent (LCS)n-manifolds
- Existence conditions for conformal Ricci solitons on (LCS)n-manifolds
- New relations between curvature tensors in these manifolds

## Abstract

The purpose of the present paper is to study semi-generalized recurrent, semi-generalized Ricci recurrent and conformal Ricci soliton on (LCS)n-manifold.

## Full text

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## References

36 references — full list in the complete paper: https://tomesphere.com/paper/1901.06873/full.md

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Source: https://tomesphere.com/paper/1901.06873