Harmonic maps and Riemannian submersions between manifolds endowed with special structures

  title={Harmonic maps and Riemannian submersions between manifolds endowed with special structures},
  author={Stere Ianuş and Gabriel Eduard V{\^i}lcu and R. C. Voicu},
  journal={Banach Center Publications},
It is well known that Riemannian submersions are of interest in physics, owing to their applications in the Yang-Mills theory, Kaluza-Klein theory, supergravity and superstring theories. In this paper we investigate some classes of Riemannian submersions between manifolds endowed with special geometric structures. 
Almost Contact Metric Submersions in Kenmotsu Geometry
In this paper, we discuss some geometric properties of Riemannian submersions whose total space is a manifold through various classes of Kenmotsu structures. The study focuses on the superminimality
Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are
Curvature Inequalities for Submanifolds of S-space From
  • N. Rehman
  • Mathematics
    European Journal of Pure and Applied Mathematics
  • 2019
In this paper we establish new results of squared mean curvature and Ricci curvature for the sub manifolds of S-space from that is the generalization of complex and contact structures. Obtained
Semi-invariant semi-Riemannian submersions
In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kahler manifolds onto semi-Riemannian manifolds. Wegive some examples, investigate the geometry of foliations that
Anti-invariant Pseudo-Riemannian Submersions and Clairaut Submersions from Paracosymplectic Manifolds
In this paper, we investigate geometric properties of anti-invariant pseudo-Riemannian submersions whose total space is a paracosymplectic manifold. Then, we study new conditions for anti-invariant
Harmonic maps and para-Sasakian geometry
The purpose of this paper is to study the harmonicity of maps to or from para-Sasakian manifolds. We derive the condition for the tension field of paraholomorphic map between almost para-Hermitian
Slant submersions in paracontact geometry
In this paper, we investigate some geometric properties of three types of slant submersions whose total space is an almost paracontact metric manifold.


Harmonic maps between quaternionic Kähler manifolds
Abstract In this note we introduce the concept of (σ, σ′)-holomorphic map between two almost quaternionic Hermitian manifolds. We prove that a (σ, σ′)-holomorphic map between two quaternionic Kähler
Harmonic maps between compact Hermitian manifolds
In this paper, we generalize the Bochner-Kodaira formulas to the case of Hermitian complex (possibly non-holomorphic) vector bundles over compact Hermitian (possibly non-Kähler) manifolds. As
Semi-Riemannian Geometry With Applications to Relativity
Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries.
In this paper we give some examples of almost para-hyperhermitian structures on the tangent bundle of an almost product manifold, on the product manifold M × ℝ, where M is a manifold endowed with a
Harmonicity of Holomorphic Maps Between Almost Hermitian Manifolds
  • D. Chinea
  • Mathematics
    Canadian Mathematical Bulletin
  • 2009
Abstract In this paper we study holomorphic maps between almost Hermitian manifolds. We obtain a new criterion for the harmonicity of such holomorphic maps, and we deduce some applications to
Riemannian Submersions from Quaternionic Manifolds
In this paper we define the concept of quaternionic submersion, we study its fundamental properties and give an example.
Horizontally conformal submersions of CR-submanifolds
It is shown that any horizontally conformal submersion of a CR-submanifold M of a Kaehler manifold M onto a Kaehler manifold N is a Riemannian submersion. Moreover, if M is mixed geodesic, then it is
On Paraquaternionic Submersions Between Paraquaternionic Kähler Manifolds
In this paper we deal with some properties of a class of semi-Riemannian submersions between manifolds endowed with paraquaternionic structures, proving a result of non-existence of paraquaternionic
CR-manifolds, harmonic maps and stability
Abstract. We present some results on harmonic maps on CR-manifolds and some stability problems for Sasakian manifolds of constant $ \varphi $-sectional curvature.
Riemannian Submersions and Related Topics
This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades ago. The authors focus