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河井 公大朗

 
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研究者氏名河井 公大朗
 
カワイ コウタロウ
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所属学習院大学
部署理学部数学科
職名助教
学位博士(理学)(東北大学), 修士(数理科学)(東京大学)
J-Global ID201701000960602758

MISC

 
 
Kotaro Kawai   Hông Vân Lê   Lorenz Schwachhöfer   
   2017年3月   
In this paper we show that a parallel differential form Tex of even degree<br />
on a Riemannian manifold allows to define a natural differential both on<br />
Tex and Tex, defined via the<br />
Fr\&quot;olicher-Ni...
 
Kotaro Kawai   
   2016年10月   
Associative submanifolds Tex in nearly parallel Tex-manifolds Tex are<br />
minimal 3-submanifolds in spin 7-manifolds with a real Killing spinor. The<br />
Riemannian cone over Tex has the holonomy group contained in Tex<br />
and t...
 
Kotaro Kawai   
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS   47 159-189   2016年8月   
We introduce the notion of affine Legendrian submanifolds in Sasakian manifolds and define a canonical volume called the phi-volume as odd dimensional analogues of affine Lagrangian (totally real or purely real) geometry. Then we derive the second...
 
Kotaro Kawai   Hông Vân Lê   Lorenz Schwachhöfer   
   2016年5月   
We extend the characterization of the integrability of an almost complex<br />
structure Tex on differentiable manifolds via the vanishing of the<br />
Fr\&quot;olicher-Nijenhuis bracket Tex to an analogous characterization<br />
of tor...
 
Kotaro Kawai   
QUARTERLY JOURNAL OF MATHEMATICS   66(3) 861-893   2015年9月   
The squashed 7-sphere S-7 is a 7-sphere with an Einstein metric given by the canonical variation and its cone R-8 - {0} has full holonomy Spin(7). There is a canonical calibrating 4-form Phi on R-8 - {0}. A minimal 3-submanifold in S-7 is called a...