Some contributions to the differential geometry of submanifolds

Barbara Opozda. Some contributions to the differential geometry of submanifolds. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1992. <http://eudml.org/doc/219348>.

@book{BarbaraOpozda1992,
abstract = {CONTENTSI. 1. Introduction..................................................................................................................................................................5   2. Preliminaries..............................................................................................................................................................11   3. On Simon’s conjecture..............................................................................................................................................13II. Pinching theorems for submanifolds of the nearly Kähler 6-sphere..............................................................................16   1. The nearly Kähler structure on S⁶(1)........................................................................................................................16   2. 3-dimensional totally real submanifolds of S⁶............................................................................................................18   3. Totally real surfaces in S⁶..........................................................................................................................................27III. Surfaces in complex and Sasakian space forms with parallel mean curvature vector...................................................31   1. Totally real surfaces in Kähler manifolds...................................................................................................................31   2. Surfaces of genus 0 with parallel mean curvature vector..........................................................................................34   3. Reduction theorems..................................................................................................................................................51   4. Surfaces of genus 0, C-totally real immersed in Sasakian space forms with parallel mean curvature vector............56References......................................................................................................................................................................631991 Mathematics Subject Classification: Primary 53C20; Secondary 53A10.},
author = {Barbara Opozda},
keywords = {complex space forms; surfaces with parallel mean curvature vector; pinching theorems for submanifolds; nearly Kähler 6-sphere; Sasakian space forms},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Some contributions to the differential geometry of submanifolds},
url = {http://eudml.org/doc/219348},
year = {1992},
}

TY - BOOK
AU - Barbara Opozda
TI - Some contributions to the differential geometry of submanifolds
PY - 1992
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSI. 1. Introduction..................................................................................................................................................................5   2. Preliminaries..............................................................................................................................................................11   3. On Simon’s conjecture..............................................................................................................................................13II. Pinching theorems for submanifolds of the nearly Kähler 6-sphere..............................................................................16   1. The nearly Kähler structure on S⁶(1)........................................................................................................................16   2. 3-dimensional totally real submanifolds of S⁶............................................................................................................18   3. Totally real surfaces in S⁶..........................................................................................................................................27III. Surfaces in complex and Sasakian space forms with parallel mean curvature vector...................................................31   1. Totally real surfaces in Kähler manifolds...................................................................................................................31   2. Surfaces of genus 0 with parallel mean curvature vector..........................................................................................34   3. Reduction theorems..................................................................................................................................................51   4. Surfaces of genus 0, C-totally real immersed in Sasakian space forms with parallel mean curvature vector............56References......................................................................................................................................................................631991 Mathematics Subject Classification: Primary 53C20; Secondary 53A10.
LA - eng
KW - complex space forms; surfaces with parallel mean curvature vector; pinching theorems for submanifolds; nearly Kähler 6-sphere; Sasakian space forms
UR - http://eudml.org/doc/219348
ER -