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Selected papers of Masatake Kuranishi /

Kuranishi, Masatake, (1924-)

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Selected papers of Masatake Kuranishi /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Selected papers of Masatake Kuranishi // editor-in-chief, Heisuke Hironaka ; editors, Takao Akahori ... [et al.].
作者:	Kuranishi, Masatake,
其他作者:	Hironaka, Heisuke.
出版者:	[Hackensack] New Jersey :World Scientific Publishing Co. Pte. Ltd., : 2013.,
面頁冊數:	xx, 633 p. :ill ;26 cm.
標題:	Geometry. -
ISBN:	9789814508131 (hbk.) :

Selected papers of Masatake Kuranishi /
Kuranishi, Masatake,1924-

Selected papers of Masatake Kuranishi /editor-in-chief, Heisuke Hironaka ; editors, Takao Akahori ... [et al.]. - [Hackensack] New Jersey :World Scientific Publishing Co. Pte. Ltd.,2013. - xx, 633 p. :ill ;26 cm.

Includes bibliographical references.

On Euclidean Local Groups satisfying certain conditions --

This book is a selection of Masatake Kuranishi's papers. Born in 1924, Kuranishi produced deep and far-reaching results in geometry over his career. Of his voluminous contributions, this book focuses on his later works: (i) his work on locally complete families of deformation of compact complex manifolds. Kuranishi was first to prove the fundamental results of the existence of complete families whose parameter spaces are today called Kuranishi spaces. His result is highly influential in deformation theory of various geometric objects. (ii) His work on the local embedding problem of Cauchy--Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy--Riemann geometry. (iii) His work on Cartan Geometry and Szegö kernels. Mainly for his works on (i) and (ii), Kuranishi was awarded the Bergman Prize in 2000. Today, he is a professor emeritus of Columbia University.

ISBN: 9789814508131 (hbk.) :US240.00

LCCN: 2013004249Subjects--Topical Terms:

517251
Geometry.

LC Class. No.: QA445 / .K78 2013

Dewey Class. No.: 516.0092

Selected papers of Masatake Kuranishi /
LDR:02933cam a2200217 i 4500 001 1931860
003 OCoLC
005 20141117112944.0
008 140826s2013 nju b 000 0 eng
010 $a 2013004249
020 $a 9789814508131 (hbk.) : $c US240.00
020 $a 9814508136 (hbk.)
040 $a DLC $b eng
050 0 0 $a QA445 $b .K78 2013
082 0 0 $a 516.0092 $2 23
100 1 $a Kuranishi, Masatake, $d 1924- $3 2070400
240 1 0 $a Papers. $k Selections
245 1 0 $a Selected papers of Masatake Kuranishi / $c editor-in-chief, Heisuke Hironaka ; editors, Takao Akahori ... [et al.].
260 # $a [Hackensack] New Jersey : $b World Scientific Publishing Co. Pte. Ltd., $c 2013.
300 $a xx, 633 p. : $b ill ; $c 26 cm.
504 $a Includes bibliographical references.
505 0 # $t On Euclidean Local Groups satisfying certain conditions -- $t On conditions of differentiability of locally compact groups -- $t On E Cartan's prolongation theorem of exterior differential systems -- $t On the local theory of continuous infinite Pseudo Groups I -- $t On the local theory of continuous infinite Pseudo Groups II -- $t On the locally complete families of complex analytic structures -- $t New proof for the existence of locally complete families of complex structures -- $t Strongly Pseudoconvex CR structures over small balls : Part I, an a priori estimate -- $t Strongly Pseudoconvex CR structures over small balls : Part II, a regularity theorem -- $t Strongly Pseudoconvex CR structures over small balls : Part III, an embedding theorem -- $t Cartan connections and CR structures with nondegenerate Levi-Form -- $t The frame bundles of CR structures and the Bergman Kernel (I) -- $t The frame bundles of CR structures and the Bergman Kernel (II) -- $t CR geometry and Cartan Geometry -- $t CR structures and Fefferman's conformal structures -- $t On a priori estimate on a manifold with singularity on the boundary -- $t An approach to the Cartan Geometry I : conformal Riemann manifolds -- $t The formula for the singularity of Szegö Kernel : I -- $t An approach to the Cartan Geometry II : CR manifolds -- $t The formula for the singularity of Szegö Kernel : II.
520 # $a This book is a selection of Masatake Kuranishi's papers. Born in 1924, Kuranishi produced deep and far-reaching results in geometry over his career. Of his voluminous contributions, this book focuses on his later works: (i) his work on locally complete families of deformation of compact complex manifolds. Kuranishi was first to prove the fundamental results of the existence of complete families whose parameter spaces are today called Kuranishi spaces. His result is highly influential in deformation theory of various geometric objects. (ii) His work on the local embedding problem of Cauchy--Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy--Riemann geometry. (iii) His work on Cartan Geometry and Szegö kernels. Mainly for his works on (i) and (ii), Kuranishi was awarded the Bergman Prize in 2000. Today, he is a professor emeritus of Columbia University.
650 # 0 $a Geometry. $3 517251
650 # 0 $a Functions of several complex variables. $3 526094
700 1 # $a Hironaka, Heisuke. $3 2070401