The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to 6-dimensional (1,0) supergravity.In particular, explained how the used identify both fractions supersymmetry preserved by and all supersymmetric backgrounds.Then two applications are described systems that exhibit superconformal symmetry.The first proof some black hole horizons locally isometric AdS 3 × Σ , where diffeomeorphic S .The second one a description solutions theories in particular their...

We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. give examples, investigate the geometry of foliations that arose definition a submersion, and find necessary sufficient conditions for submersion to be totally geodesic. also check harmonicity such show total space has certain product structures. Moreover, we obtain curvature relations between base space, geometric implications these relations.

As a generalization of semi-invariant submersions, we introduce conformal submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry foliations which arise definition submersion and show that there are certain product structures on total space submersion. Moreover, also check harmonicity such find necessary sufficient conditions to be totally geodesic.

Park and Prasad [Semi-slant submersions, Bull. Korean Math. Soc. 50(3) (2013) 951–962.] defined studied semi-slant submersions as a generalization of slant semi-invariant anti-invariant submersions. As we introduce conformal study the new from almost Hermitian manifolds onto Riemannian manifolds. We integrability ditributions geometry leaves submersion. Moreover, show that there are certain product structures on base manifold also obtain totally geodesic conditions for such maps. Finally,...

We introduce conformal anti-invariant submersions from cosymplectic manifolds onto Riemannian manifolds.We give an example of a submersion such that characteristic vector eld ξ is vertical.We investigate the geometry foliations which are arisen denition and show total manifold has certain product structures.Moreover, we examine necessary sucient conditions for to be totally geodesic check harmonicity submersions.

In this paper, we introduce hemi-slant submersions from almost product Riemannian manifolds onto manifolds. We give an example, investigate the geometry of foliations which are arisen definition a submersion. also find necessary and sufficient conditions for submersion to be totally geodesic.

As a generalization of anti-invariant [Formula: see text]-Riemannian submersions, we introduce semi-invariant submersions from Sasakian manifolds onto Riemannian manifolds. We give examples, investigating the geometry foliations which arise definition submersion and proving necessary sufficient condition for to be totally geodesic. Moreover, study with umbilical fibers.

Akyol [Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistics 2017; 462: 177-192] defined studied conformal antiinvariant manifolds. The aim the present paper is to define study notion slant (it means Reeb vector field $\xi$ a vertical field) manifolds onto Riemannian as generalization submersions, horizontally submersions. More precisely, we mention many examples obtain geometries leaves distribution horizontal distribution,...

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As a generalization of conformal holomorphic submersions and anti-invariant submersions, we introduce new  conformal  submersion from almost Hermitian manifolds onto Riemannian manifolds, namely slant submersions. We give examples find necessary sufficient conditions for such maps to be harmonic morphism. also  investigate the geometry foliations which are arisen definition obtain decomposition theorem on total space submersion. Moreover, we  totally geodesic.

In the present paper, we introduce bi-slant submersions from almost Hermitian manifolds onto Riemannian as a generalization of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant submersions. We mainly focus on Kaehler manifolds. provide proper example submersion, investigate geometry foliations determined by vertical horizontal distributions, obtain leaves these distributions. Moreover, curvature relations between base space, total space fibres, find geometric...

In this paper, we investigate the geometrical axioms of Riemannian submersions in context η-Ricci–Yamabe soliton (η-RY soliton) with a potential field. We give categorization each fiber submersion as an η-RY soliton, η-Ricci and η-Yamabe soliton. Additionally, consider many circumstances under which target manifold is or quasi-Yamabe deduce Poisson equation on specific scenario if vector field ω gradient type =:grad(γ) provide some examples illustrates our finding. Finally, explore number...

As a generalization of CR-submanifolds and semi-invariant Riemannian maps, we introduce conformal maps from manifolds to almost Hermitian manifolds.We give non-trivial examples, investigate the geometry foliations, obtain decomposition theorems by using existence maps.We also harmonicity such find necessary sufficient conditions for anti-invariant be totally geodesic.

As a generalization of slant submanifolds and Riemannian maps, we introduce conformal maps from manifolds to almost Hermitian manifolds. We give non-trivial examples, investigate the geometry foliations obtain decomposition theorems by using existence maps. Moreover, also harmonicity such find necessary sufficient conditions for be totally geodesic.

The objective of this paper is to introduce a new class submanifolds which are called pointwise quasi hemi-slant in almost Hermitian manifolds extends hemi-slant, semi-slant and slant very natural way. Several basic results respect proved paper. Moreover, we obtain some conditions the distributions involved definition submanifolds. We also get for totally geodesic mixed Finally, illustrate examples order guaranty kind

UDC 514 As a natural generalization of slant submanifolds [B.-Y. Chen, <em>Bull. Austral. Math. Soc.,</em> <strong>41</strong>, No. 1, 135 (1990)], submersions [B. Şahin, Soc. Sci. Roumanie (N.S.),</em> <strong>54</strong>, 102, 93 (2011)], Riemannian maps <em>Quaestion. Math.,</em> <strong>36</strong>, 3, 449 (2013) and Int. J. <em>Geom. Methods Mod. Phys.,</em> <strong>10</strong>, Article 1250080...

M.A. Akyol and B. Şahin [Conformal anti-invariant Riemannian maps to Kaehler manifolds, U.P.B. Sci. Bull., Series A, Vol. 80, Iss. 4, 2018] defined studied the notion of conformal manifolds. In this paper, as a generalization totally real submanifolds maps, we extend almost contact metric manner, introduce from manifolds cosymplectic order guarantee existence notion, give non-trivial example, investigate geometry foliations which are arisen definition map obtain decomposition theorems by...

In this research article, we establish the geometrical bearing on Riemannian submersions in terms of $η$-Ricci-Yamabe Soliton with potential field and giving classification any fiber submersion is an soliton, $η$-Ricci soliton $η$-Yamabe soliton. We also discuss various conditions for which target manifold quasi-Yamabe a particular case when filed $V$ gradient type, derive Laplacian equation providing some examples submersion. Finally, study harmonic aspect mention physical effects...