Results 71 to 80 of about 257,637 (166)
Quantization of the Geodesic Flow on Quaternion Projective Spaces
Annals of Global Analysis and Geometry, 2002 no ...
openaire +3 more sources
Metrics of positive Ricci curvature on simply‐connected manifolds of dimension 6k$6k$
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract A consequence of the surgery theorem of Gromov and Lawson is that every closed, simply‐connected 6‐manifold admits a Riemannian metric of positive scalar curvature. For metrics of positive Ricci curvature, it is widely open whether a similar result holds; there are no obstructions known for those manifolds to admit a metric of positive Ricci ...
Philipp Reiser
wiley +1 more source
Homeomorphisms of Quaternion space and projective planes in four space [PDF]
Journal of the Australian Mathematical Society, 1977 AbstractIt is known that all locally flat projective planes in S4 have homeomorphic normal disk bundles. In this paper we investigate the homeomorphisms of Q3 (= boundary of the normal disk bundle) on to itself. We show that a homeomorphisms of Q3 onto itself is determined, up to isotopy, by the outerautomorphism of π1(Q3) that it induces.
openaire +1 more source
Heavenly metrics, hyper‐Lagrangians and Joyce structures
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract In [Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2021, pp. 1–66], Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space M$M$ of stability conditions of a CY3$CY_3$ triangulated category.
Maciej Dunajski, Timothy Moy
wiley +1 more source
RICCI CURVATURE OF SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE [PDF]
Communications of the Korean Mathematical Society, 2002 Recently, Chen establishes sharp relationship between the k-Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. In this paper, we establish sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in quaternion projective spaces.
Ximin Liu, Wanji Dai
openaire +2 more sources
Multiplicative generalized tube surfaces with multiplicative quaternions algebra
Mathematical Methods in the Applied Sciences, Volume 47, Issue 11, Page 9157-9168, 30 July 2024.Along with other types of calculus, multiplicative calculus brings an entirely new perspective. Geometry now has a new field as a result of this new understanding. In this study, multiplicative differential geometry was used to explore peculiar surfaces. Multiplicative quaternions are also used to depict surfaces.
Hazal Ceyhan +2 more
wiley +1 more source
Hofer–Zehnder capacity of disc tangent bundles of projective spaces
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract We compute the Hofer–Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini–Study resp. round metric, but we can obtain explicit bounds for any other metric.
Johanna Bimmermann
wiley +1 more source
Range characterization of Radon transforms on quaternionic projective spaces [PDF]
Mathematische Annalen, 1994 The characterization of the ranges of Radon transforms is one of the most important subjects in integral geometry. In fact, for the Radon transforms on Euclidean spaces, this subject has been studied from the several points of view since John's result [18], in which John showed that the range of the X-ray Radon transform on the 3-dimensional Euclidean ...
openaire +2 more sources
Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley +1 more source
Involutions on the product of Quaternionic Projective space and Sphere
, 2023 Let G = Z2 act on a finite CW-complex X having mod 2 cohomology isomorphic to the product of quaternionic projective space and sphere HPn x Sm, n, m > or = 1. This paper is concerned with the connected fixed point sets and the orbit spaces of free involutions on X.
Dimpi, Singh, Hemant Kumar
openaire +2 more sources