Some contributions to the differential geometry of submanifolds
Barbara Opozda
GDML_Books, (1992), p.

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......................................................................................................................................................................63

1991 Mathematics Subject Classification: Primary 53C20; Secondary 53A10.

EUDML-ID : urn:eudml:doc:219348
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     author = {Barbara Opozda},
     title = {Some contributions to the differential geometry of submanifolds},
     series = {GDML\_Books},
     publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
     address = {Warszawa},
     year = {1992},
     zbl = {0828.53046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.dl-catalog-ff798d5e-67b2-452a-8539-d627f8259f47}
}
Barbara Opozda. Some contributions to the differential geometry of submanifolds. GDML_Books (1992),  http://gdmltest.u-ga.fr/item/bwmeta1.element.dl-catalog-ff798d5e-67b2-452a-8539-d627f8259f47/