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Papers by Catalin Gherghe

Research paper thumbnail of Harmonic Maps on Kenmotsu Manifolds

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2013

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give s... more We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

Research paper thumbnail of CR-manifolds, harmonic maps and stability

Journal of Geometry, 2001

We present some results on harmonic maps onCR-manifolds and some stability problems for Sasakian ... more We present some results on harmonic maps onCR-manifolds and some stability problems for Sasakian manifolds of constant'-sectional curvature.

Research paper thumbnail of Harmonicity on some almost contact metric manifolds

Rendiconti del Circolo Matematico di Palermo, 2000

Research paper thumbnail of Harmonicity on cosymplectic manifolds

Rocky Mountain Journal of Mathematics, 2010

Research paper thumbnail of On a gauge-invariant functional

Proceedings of the Edinburgh Mathematical Society, 2010

We define a new functional which is gauge invariant on the space of all smooth connections of a v... more We define a new functional which is gauge invariant on the space of all smooth connections of a vector bundle over a compact Riemannian manifold. This functional is a generalization of the classical Yang-Mills functional. We derive its first variation formula and prove the existence of critical points. We also obtain the second variation formula.

Research paper thumbnail of Harmonic maps and cosymplectic manifolds

Journal of the Australian Mathematical Society, 2004

We study the harmonicity of maps to or from cosymplectic manifolds by relating them to maps to or... more We study the harmonicity of maps to or from cosymplectic manifolds by relating them to maps to or from Kähler spaces.

Research paper thumbnail of Harmonic maps and stability on locally conformal Kähler manifolds

Journal of Geometry and Physics, 2013

Abstract We study harmonic and pluriharmonic maps on locally conformal Kahler manifolds. We prove... more Abstract We study harmonic and pluriharmonic maps on locally conformal Kahler manifolds. We prove that there are no nonconstant holomorphic pluriharmonic maps from a locally conformal Kahler manifold to a Kahler manifold and that any holomorphic harmonic map from a compact locally conformal Kahler manifold to a Kahler manifold is stable.

Research paper thumbnail of Energy minimizer maps on -manifolds

Differential Geometry and its Applications, 2004

Research paper thumbnail of Harmonicity on Nearly Trans-Sasaki Manifolds

Demonstratio Mathematica

In this paper we shall study the harmonicity and D-pluriharmonicity of a (<p, J)-holomorphic map ... more In this paper we shall study the harmonicity and D-pluriharmonicity of a (<p, J)-holomorphic map from a nearly trains-Sasaki manifold into an almost Hermitian manifold.

Research paper thumbnail of Harmonic Morphisms on Some Almost Contact Metric Manifolds

Tensor New Series, Dec 1, 2000

Research paper thumbnail of Harmonic Maps on Kenmotsu Manifolds

Analele Stiintifice Ale Universitatii Ovidius Constanta Seria Matematica, Nov 1, 2013

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give s... more We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

Research paper thumbnail of Quasiconnections of Golab-Lyra

Research paper thumbnail of On some submanifolds with harmonic mean curvature vector field

Research paper thumbnail of Harmonic maps on Trans-Sasaki manifolds

Rendiconti del Circolo Matematico di Palermo

In this paper we prove that a (ϕ,J)-holomorphic mapf:M→N (i.e.f *oϕ=Jof *) from a Trans-Sasaki ma... more In this paper we prove that a (ϕ,J)-holomorphic mapf:M→N (i.e.f *oϕ=Jof *) from a Trans-Sasaki manifold to a nearly Kähler manifold is a harmonic map. We also study the stability of a such map whenM is a compact Trans-Sasaki manifold andN is a Kähler manifold.

Research paper thumbnail of Harmonic Maps on Kenmotsu Manifolds

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2013

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give s... more We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

Research paper thumbnail of CR-manifolds, harmonic maps and stability

Journal of Geometry, 2001

We present some results on harmonic maps onCR-manifolds and some stability problems for Sasakian ... more We present some results on harmonic maps onCR-manifolds and some stability problems for Sasakian manifolds of constant'-sectional curvature.

Research paper thumbnail of Harmonicity on some almost contact metric manifolds

Rendiconti del Circolo Matematico di Palermo, 2000

Research paper thumbnail of Harmonicity on cosymplectic manifolds

Rocky Mountain Journal of Mathematics, 2010

Research paper thumbnail of On a gauge-invariant functional

Proceedings of the Edinburgh Mathematical Society, 2010

We define a new functional which is gauge invariant on the space of all smooth connections of a v... more We define a new functional which is gauge invariant on the space of all smooth connections of a vector bundle over a compact Riemannian manifold. This functional is a generalization of the classical Yang-Mills functional. We derive its first variation formula and prove the existence of critical points. We also obtain the second variation formula.

Research paper thumbnail of Harmonic maps and cosymplectic manifolds

Journal of the Australian Mathematical Society, 2004

We study the harmonicity of maps to or from cosymplectic manifolds by relating them to maps to or... more We study the harmonicity of maps to or from cosymplectic manifolds by relating them to maps to or from Kähler spaces.

Research paper thumbnail of Harmonic maps and stability on locally conformal Kähler manifolds

Journal of Geometry and Physics, 2013

Abstract We study harmonic and pluriharmonic maps on locally conformal Kahler manifolds. We prove... more Abstract We study harmonic and pluriharmonic maps on locally conformal Kahler manifolds. We prove that there are no nonconstant holomorphic pluriharmonic maps from a locally conformal Kahler manifold to a Kahler manifold and that any holomorphic harmonic map from a compact locally conformal Kahler manifold to a Kahler manifold is stable.

Research paper thumbnail of Energy minimizer maps on -manifolds

Differential Geometry and its Applications, 2004

Research paper thumbnail of Harmonicity on Nearly Trans-Sasaki Manifolds

Demonstratio Mathematica

In this paper we shall study the harmonicity and D-pluriharmonicity of a (<p, J)-holomorphic map ... more In this paper we shall study the harmonicity and D-pluriharmonicity of a (<p, J)-holomorphic map from a nearly trains-Sasaki manifold into an almost Hermitian manifold.

Research paper thumbnail of Harmonic Morphisms on Some Almost Contact Metric Manifolds

Tensor New Series, Dec 1, 2000

Research paper thumbnail of Harmonic Maps on Kenmotsu Manifolds

Analele Stiintifice Ale Universitatii Ovidius Constanta Seria Matematica, Nov 1, 2013

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give s... more We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

Research paper thumbnail of Quasiconnections of Golab-Lyra

Research paper thumbnail of On some submanifolds with harmonic mean curvature vector field

Research paper thumbnail of Harmonic maps on Trans-Sasaki manifolds

Rendiconti del Circolo Matematico di Palermo

In this paper we prove that a (ϕ,J)-holomorphic mapf:M→N (i.e.f *oϕ=Jof *) from a Trans-Sasaki ma... more In this paper we prove that a (ϕ,J)-holomorphic mapf:M→N (i.e.f *oϕ=Jof *) from a Trans-Sasaki manifold to a nearly Kähler manifold is a harmonic map. We also study the stability of a such map whenM is a compact Trans-Sasaki manifold andN is a Kähler manifold.