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September 10, 2025Open Access

Pointwise hemislant submersions from cosymplectic manifolds

MKMeltem KaraismailoğluAhi Evran University SSSezin Aykurt SepetAhi Evran University MEMahmut ErgütTekirdağ Namık Kemal University

Key Points

Examines the geometry of totally geodesic foliations arising from hemislant submersions to Riemannian manifolds.
Establishes inequalities connecting the Ricci curvature and scalar curvature in cosymplectic spaces.
Investigates the integrability of distributions related to hemislant submersions, providing insights for future studies.
Studies the $ heta$-pluriharmonicity of hemislant maps which facilitates understanding curvature properties.

Abstract

UDC 514. 7 We study pointwise hemislant submersions as a generalization of pointwise slant submersions and hemislant submersions from cosymplectic manifolds onto Riemannian manifolds. We investigate the integrability of distributions and the geometry of totally geodesic foliations arising from the definition of these submersions. Moreover, we study the -pluriharmonicity of these maps and obtain some inequalities connecting the Ricci curvature with the scalar curvature, depending on whether is vertical or horizontal, for pointwise hemislant submersions from cosymplectic space forms onto Riemannian manifolds.

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