Results 1 to 10 of about 1,660 (35)

Deformations of nearly G2 structures

open access: yesJournal of the London Mathematical Society, Volume 104, Issue 4, Page 1795-1811, November 2021., 2021
Abstract We describe the second order obstruction to deformation for nearly G2 structures on compact manifolds. Building on work of Alexandrov and Semmelmann, this allows proving rigidity under deformation for the proper nearly G2 structure on the Aloff–Wallach space N(1,1).
Paul‐Andi Nagy, Uwe Semmelmann
wiley   +1 more source

Limits of Riemannian 4‐manifolds and the symplectic geometry of their twistor spaces

open access: yesTransactions of the London Mathematical Society, Volume 4, Issue 1, Page 100-109, December 2017., 2017
Abstract The twistor space of a Riemannian 4‐manifold carries two almost complex structures, J+ and J−, and a natural closed 2‐form ω. This article studies limits of manifolds for which ω tames either J+ or J−. This amounts to a curvature inequality involving self‐dual Weyl curvature and Ricci curvature, and which is satisfied, for example, by all anti‐
Joel Fine
wiley   +1 more source

A remark on four‐dimensional almost Kähler‐Einstein manifolds with negative scalar curvature

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 35, Page 1837-1842, 2004., 2004
Concerning the Goldberg conjecture, we will prove a result obtained by applying the result of Iton in terms of L2‐norm of the scalar curvature.
R. S. Lemence, T. Oguro, K. Sekigawa
wiley   +1 more source

Randers manifolds of positive constant curvature

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 18, Page 1155-1165, 2003., 2003
We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd‐dimensional sphere, provided a certain 1‐form vanishes on it.
Aurel Bejancu, Hani Reda Farran
wiley   +1 more source

A note on Chen′s basic equality for submanifolds in a Sasakian space form

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 11, Page 711-716, 2003., 2003
It is proved that a Riemannian manifold M isometrically immersed in a Sasakian space form M˜(c) of constant φ‐sectional curvature c < 1, with the structure vector field ξ tangent to M, satisfies Chen′s basic equality if and only if it is a 3‐dimensional minimal invariant submanifold.
Mukut Mani Tripathi   +2 more
wiley   +1 more source

Some submersions of CR‐hypersurfaces of Kaehler‐Einstein manifold

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 18, Page 1137-1144, 2003., 2003
The Riemannian submersions of a CR‐hypersurface M of a Kaehler‐Einstein manifold M˜ are studied. If M is an extrinsic CR‐hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler‐Einstein manifold.
Vittorio Mangione
wiley   +1 more source

Foliations by minimal surfaces and contact structures on certain closed 3‐manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 21, Page 1323-1330, 2003., 2003
Let (M, g) be a closed, connected, oriented C∞ Riemannian 3‐manifold with tangentially oriented flow F. Suppose that F admits a basic transverse volume form μ and mean curvature one‐form κ which is horizontally closed. Let {X, Y} be any pair of basic vector fields, so μ(X, Y) = 1.
Richard H. Escobales Jr.
wiley   +1 more source

The local moduli of Sasakian 3‐manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 117-127, 2002., 2002
The Newman‐Penrose‐Perjes formalism is applied to Sasakian 3‐manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given any smooth function of two variables, there exists locally a Sasakian structure with scalar curvature ...
Brendan S. Guilfoyle
wiley   +1 more source

Ricci curvature of submanifolds in Kenmotsu space forms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 719-726, 2002., 2002
In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. Similar problems for submanifolds in complex space forms were studied by Matsumoto et al.
Kadri Arslan   +4 more
wiley   +1 more source

Chern classes of integral submanifolds of some contact manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 481-490, 2002., 2002
A complex subbundle of the normal bundle to an integral submanifold of the contact distribution in a Sasakian manifold is given. The geometry of this bundle is investigated and some results concerning its Chern classes are obtained.
Gheorghe Pitiş
wiley   +1 more source

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