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Hermitian Yang–Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi–Yau twistor 6-manifolds
We consider the Hermitian Yang–Mills (HYM) equations for gauge potentials on a complex
vector bundle E over an almost complex manifold X6 which is the twistor space of an …
vector bundle E over an almost complex manifold X6 which is the twistor space of an …
Mirror Duality via G 2 and Spin(7) Manifolds
The main purpose of this chapter is to give a construction of certain “mirror dual” Calabi–Yau
submanifolds inside of a G 2 manifold. More specifically, we explain how to assign to a G 2 …
submanifolds inside of a G 2 manifold. More specifically, we explain how to assign to a G 2 …
Mirror Duality via G_2 and Spin (7) Manifolds
The main purpose of this paper is to give a mathematical definition of``mirror symmetry''for
Calabi-Yau and G_2 manifolds. More specifically, we explain how to assign a G_2 manifold …
Calabi-Yau and G_2 manifolds. More specifically, we explain how to assign a G_2 manifold …
On Locally Conformal Spin (7) Structure
This article reveals a significant connection in geometry: when the Lee form $\theta $ is
normal to an almost Hermitian manifold $ N $, it implies that $ N $ possesses a nearly K\" …
normal to an almost Hermitian manifold $ N $, it implies that $ N $ possesses a nearly K\" …
A Kahler-Einstein inspired anzatz for Spin (7) holonomy metrics and its solution
OP Santillan - arxiv preprint hep-th/0609088, 2006 - arxiv.org
We construct propose an anzatz for Spin (7) metrics as an R-bundle over closed G2
structures. These G2 structures are R3 bundles over 4-dimensional compact quaternion …
structures. These G2 structures are R3 bundles over 4-dimensional compact quaternion …
Two notes on Spin (7)-structures
K Niedzialomski - arxiv preprint arxiv:2212.13811, 2022 - arxiv.org
We derive the explicit formula for the intrinsic torsion of a ${\rm Spin}(7) $-structure on a $8 $-
-dimensional Riemannian manifold $ M $. Here, the intrinsic torsion is a difference of the …
-dimensional Riemannian manifold $ M $. Here, the intrinsic torsion is a difference of the …
Lee form and special warped-like product manifolds with locally conformally parallel Spin(7) structure
We study the cases of the Lee form on special warped-like product manifolds M with locally
conformally parallel Spin (7) structure to determine the nature of the fibers. Using fiber-base …
conformally parallel Spin (7) structure to determine the nature of the fibers. Using fiber-base …
Fiber structures of special (4+ 3+ 1) warped-like manifolds with Spin (7) holonomy
A generalization of 8-dimensional multiply-warped product manifolds is considered as a
special warped product, by allowing the fiber metric to be non-block diagonal. Motivating …
special warped product, by allowing the fiber metric to be non-block diagonal. Motivating …
[PDF][PDF] A family of Spin (7) holonomy metrics inspired on Kähler-Einstein spaces
OP Santillan - arxiv preprint hep-th/0609088 - Citeseer
We construct a family of non compact Spin (7) metrics which are an R bundle over closed G2
structures. These G2 structures are R3 bundles over 4-dimensional compact quaternion …
structures. These G2 structures are R3 bundles over 4-dimensional compact quaternion …