On the almost h-conformal semi-slant Riemannian maps

Year 2024, Volume: 53 Issue: 5, 1333 - 1353, 15.10.2024

Kwang-soon Park

https://doi.org/10.15672/hujms.1113123

Abstract

As a generalization of conformal semi-slant submersions, semi-slant Riemannian maps, almost h-semi-slant submersions and almost h-semi-slant Riemannian maps, we introduce almost h-conformal semi-slant submersions and almost h-conformal semi-slant Riemannian maps. We give some examples of such maps and also introduce some types of pluriharmonic maps, invariant maps and geodesic maps. We study the geometry of foliations, the integrability of distributions, the properties of pluriharmonic maps, invariant maps and geodesic maps. We also investigate the condition for such maps to be totally geodesic and the harmonicity of such maps.

Keywords

conformal Riemannian map, quaternionic manifold, pluriharmonic, totally geodesic.

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