ON THE ALMOST H-CONFORMAL SEMI-SLANT RIEMANNIAN MAPS

Year 2024, Early Access, 1 - 21

Kwang-soon Park

Abstract

As a generalization of conformal semi-slant submersions, semi-
slant Riemannian maps, almost h-semi-slant submersons and almost h-semi-
slant Riemannian maps, we introduce almost h-conformal semi-slant submer-
sions 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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