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Chen and Casorati curvature inequalities for the submanifolds of quaternionic Kaehler manifolds endowed with Ricci quarter-symmetric metric connection

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Title: Chen and Casorati curvature inequalities for the submanifolds of quaternionic Kaehler manifolds endowed with Ricci quarter-symmetric metric connection

Authors: Mehraj Ahmad Lone, Umair Ali Wani

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2022

Volume: 18

Issue: 2

Language: English

Keywords: Chen’s inequalitiesCasorati curvaturequaternionic Kaehler manifoldsRicci quarter-symmetric metric connection

Categories
Submanifolds (2) Curvature (1) Kaehler Manifolds (1) Metric Connections (1) Differential Geometry (14)

Abstract

In this paper, authors have established Chen’s inequalities for the submanifolds of quaternionic Kaehler manifolds characterized by Ricci quarter-symmetric metric connection. Other than these inequalities, generalized normalized Casorati curvature inequalities have been derived.

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