Results 61 to 70 of about 4,869 (103)

Three-dimensional CR-submanifolds in the nearly Kaehler six-sphere satisfying B.Y. Chen's basic equality

, 2000
B. Y. Chen introduced in [3] an important Riemannian invariant for a Riemannian manifold and obtained a sharp inequality between his invariant and the squared mean curvature for arbitrary submanifolds in real space forms.
T. Sasahara
semanticscholar   +1 more source

Dimensional reduction of the heterotic string over nearly-Kähler manifolds

Journal of High Energy Physics, 2009
Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional ${\cal N}=1$ heterotic supergravity coupled to ${\cal N}=1$ super Yang-Mills over manifolds admitting a nearly-Kähler structure.
Chatzistavrakidis, Athanasios, Zoupanos, George   +1 more
openaire   +5 more sources

Clairaut anti-invariant submersion from nearly Kaehler manifold

, 2020
In the present paper, we investigate geometric properties of Clairaut anti-invariant submersions whose total space is a nearly Kaehler manifold. We obtain condition for Clairaut anti-invariant submersion to be a totally geodesic map and also study Clairaut anti-invariant submersions with totally umbilical fibers.
Gupta, Punam, Rai, Amit Kumar
openaire   +3 more sources

Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures [PDF]

, 2007
In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.Comment: 7 ...
Ganchev, Georgi, Kassabov, Ognian
core   +1 more source

An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry [PDF]

Pacific Journal of Mathematics, 2008
27 pages, v.
openaire   +3 more sources

Hermitian Yang–Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi–Yau twistor 6-manifolds [PDF]

Nuclear Physics B, 2010
We consider the Hermitian-Yang-Mills (HYM) equations for gauge potentials on a complex vector bundle E over an almost complex manifold X^6 which is the twistor space of an oriented Riemannian manifold M^4. Each solution of the HYM equations on such X^6 defines a pseudo-holomorphic structure on the bundle E.
openaire   +2 more sources

Isospectral nearly Kaehler manifolds

, 2017
We give an Ansatz to construct pairs of locally homogeneous nearly Kaehler manifolds that are isospectral for the Dirac and the Hodge Laplace operator in dimensions higher than six and investigate the existence of generic isospectral pairs in dimension six.
openaire   +1 more source

An optimal inequality on warped product semi-slant submanifolds of nearly Kaehler manifolds

, 2014
Non-existence of warped product semi-slant submanifolds of Kaehler manifolds was proved in [17], it is interesting to find their existence. In this paper, we prove the existence of warped product semi-slant submanifolds of nearly Kaehler manifolds by a characterization. To this end we obtain an inequality for the squared norm of second fundamental form
Uddin, Siraj, Al-Solamy, Falleh R., Khan, V. A., Ozel, Cenap   +3 more
openaire   +2 more sources

Nearly Kähler manifolds of constant antiholomorphic sectional curvature

, 2010
3 pages, MR 84a ...
Gancev, G. T., Kassabov, O. T.
openaire   +3 more sources

Bi-warped Product Submanifolds of Nearly Kaehler Manifolds

Bulletin of the Malaysian Mathematical Sciences Society, 2020
S. Uddin, Bang‐Yen Chen, Awatif Al-Jedani, Azeb Alghanemi   +3 more
semanticscholar   +1 more source