Results 61 to 70 of about 730,375 (178)

Derivations and Extensions in JC‐Algebras

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
A well‐known result by Upmeier states that every derivation on a universally reversible JC‐algebra A⊆B(H)sa extends to the C∗‐algebra [A] generated by A in B(H). In this paper, we significantly strengthen this result by proving that every Jordan derivation on a universally reversible JC‐algebra A extends to ∗‐derivations on its universal enveloping ...
Fatmah B. Jamjoom, Doha A. Abulhamail, Armando Sánchez-Nungaray   +2 more
wiley   +1 more source

Browder S-resolvent equation in quaternionic setting [PDF]

arXiv, 2023
This paper is devoted to the study of the S-eigenvalue of finite type of a bounded right quaternionic linear operator acting in a right quaternionic Hilbert space. The study is based on the different properties of the Riesz projection associated with the connected part of the S-spectrum.
arxiv  

Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3634-3642, December 2024.
Abstract We construct harmonic Riemannian submersions that are retractions from symmetric spaces of noncompact type onto their rank‐one totally geodesic subspaces. Among the consequences, we prove the existence of a nonconstant, globally defined complex‐valued harmonic morphism from the Riemannian symmetric space associated to a split real semisimple ...
F. E. Burstall
wiley   +1 more source

Zero‐curvature subconformal structures and dispersionless integrability in dimension five

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley   +1 more source

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

Completeness in supergravity constructions

, 2011
We prove that the supergravity r- and c-maps preserve completeness. As a consequence, any component H of a hypersurface {h=1} defined by a homogeneous cubic polynomial such that -d^2 h is a complete Riemannian metric on H defines a complete projective ...
A. Chou, B. Wit de, B. Wit de, B. Wit de, B. Wit de, B. Wit de, C. Mayer, D. Freed, D. Gaiotto, D. Robles-Llana, D. Robles-Llana, D.R. Morrison, D.V. Alekseevskiĭ, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. Cremmer, E. Witten, I. Antoniadis, I. Antoniadis, J. De Jaehger, J. Louis, M. Rocek, S. Alexandrov, S. Alexandrov, S. Cecotti, S. Ferrara, S. Kachru, S. Kachru, T. Mohaupt, V. Cortés, V. Cortés, V. Cortés, V. Cortés, V. Cortés, X. Han   +35 more
core   +1 more source

Minimal $\delta(2)$-ideal Lagrangian submanifolds and the Quaternionic projective space [PDF]

, 2023
Kristof Dekimpe, J. Veken, L. Vrancken
semanticscholar   +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

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, Zehra Özdemir, Ismail Gök   +2 more
wiley   +1 more source

Manifolds with holonomy U*(2m)

, 2014
We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U*(2m), a real form of GL(2m,C), otherwise denoted by SL(m,H).U(1). We show in particular how examples may be generated from quaternionic K\"ahler
Hitchin, Nigel
core   +1 more source