10 citations · 46 across the 13 of their papers we have counts for
13 papers
Mirror of volume functionals on manifolds with special holonomy
Kotaro Kawai, Hikaru Yamamoto
We can define the ``volume'' for Hermitian connections on a Hermitian complex line bundle over a Riemannian manifold , which can be considered to be the ``mirror'' of the st…
Deformation theory of deformed Donaldson-Thomas connections for -manifolds
Kotaro Kawai, Hikaru Yamamoto
A deformed Donaldson-Thomas connection for a manifold with a -structure, which we call a -dDT connection, is a Hermitian connection on a Hermitian lin…
The real Fourier-Mukai transform of Cayley cycles
Kotaro Kawai, Hikaru Yamamoto
The real Fourier-Mukai transform sends a section of a torus fibration to a connection over the total space of the dual torus fibration. By this method, Leung, Yau and Zaslow introd…
Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections
Kotaro Kawai, Hikaru Yamamoto
A deformed Donaldson-Thomas (dDT) connection is a Hermitian connection of a Hermitian line bundle over a -manifold satisfying a certain nonlinear PDE. This is considered t…
Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair
Kotaro Kawai
We introduce a new notion of a homogeneous pair for a pseudo-Riemannian metric and a positive function on a manifold admitting a free -action. There ar…
Almost formality of manifolds of low dimension
Domenico Fiorenza, Kotaro Kawai, Hông Vân Lê +1
In this paper we introduce the notion of Poincaré DGCAs of Hodge type, which is a subclass of Poincaré DGCAs encompassing the de Rham algebras of closed orientable manifolds. Then…
Frölicher-Nijenhuis bracket on manifolds with special holonomy
Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer
In this article, we summarize our recent results on the study of manifolds with special holonomy via the Frölicher-Nijenhuis bracket. This bracket enables us to define the Fröliche…
Frölicher-Nijenhuis cohomology on - and -manifolds
Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer
In this paper we show that a parallel differential form of even degree on a Riemannian manifold allows to define a natural differential both on and ,…
Second order deformations of associative submanifolds in nearly parallel -manifolds
Kotaro Kawai
Associative submanifolds in nearly parallel -manifolds are minimal 3-submanifolds in spin 7-manifolds with a real Killing spinor. The Riemannian cone over has the…
Frölicher-Nijenhuis bracket and geometry of -and -manifolds
Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer
We extend the characterization of the integrability of an almost complex structure on differentiable manifolds via the vanishing of the Frölicher-Nijenhuis bracket $[J, J] ^{FN…
Stabilities of affine Legendrian submanifolds and their moduli spaces
Kotaro Kawai
We introduce the notion of affine Legendrian submanifolds in Sasakian manifolds and define a canonical volume called the -volume as odd dimensional analogues of affine Lagrangia…
Some associative submanifolds of the squashed 7-sphere
Kotaro Kawai
The squashed 7-sphere is a 7-sphere with an Einstein metric given by the canonical variation and its cone has full holonomy . Ther…
Cohomogeneity One Coassociative Submanifolds in the Bundle of Anti-self-dual 2-forms over the 4-sphere
Kotaro Kawai
Coassociative submanifolds are 4-dimensional calibrated submanifolds in -manifolds. In this paper, we construct explicit examples of coassociative submanifolds in $Λ^{2}_{-}…