%PDF-1.4 % 1 0 obj <<>> endobj 2 0 obj <<>> endobj 3 0 obj <> endobj 13 0 obj <> endobj 14 0 obj <> endobj 15 0 obj <> endobj 16 256 obj <> stream xw7PH/5P0T0Pr5T(獎U0PH032P044330T434s|=3c@o0/ O endstream endobj 19 0 obj <> endobj 22 0 obj <> endobj 25 0 obj <> endobj 28 256 obj <> stream xw7PH/5P0T0Pr5T(獎U0PH55236P042355R55632 LMA0=p`^ J endstream endobj 29 0 obj <> endobj 30 0 obj <> endobj 31 0 obj <> endobj 32 0 obj (1. Introduction) endobj 33 0 obj <> endobj 34 0 obj <> endobj 35 0 obj <> endobj 36 0 obj (Nearly umbilical hypersurfaces) endobj 37 0 obj <> endobj 38 0 obj <> endobj 39 0 obj <> endobj 40 0 obj (Quasi Einstein hypersurfaces) endobj 41 0 obj <> endobj 42 0 obj <> endobj 43 0 obj <> endobj 44 0 obj (2. Notation, preliminaries and strategy of the proof) endobj 45 0 obj <> endobj 46 0 obj <> endobj 47 0 obj <> endobj 48 0 obj (Notation) endobj 49 0 obj <> endobj 50 0 obj <> endobj 51 0 obj <> endobj 52 0 obj (Preliminary results) endobj 53 0 obj <> endobj 54 0 obj <> endobj 55 0 obj <> endobj 56 0 obj (3. The isotropic case) endobj 57 0 obj <> endobj 58 0 obj <> endobj 59 0 obj <> endobj 60 0 obj (Proof of Proposition 3.1) endobj 61 0 obj <> endobj 62 0 obj <> endobj 63 0 obj <> endobj 64 0 obj (Conclusion) endobj 65 0 obj <> endobj 66 0 obj <> endobj 67 0 obj <> endobj 68 0 obj (4. The anisotropic case) endobj 69 0 obj <> endobj 70 0 obj <> endobj 71 0 obj <> endobj 72 0 obj (Proof of Proposition 4.4) endobj 73 0 obj <> endobj 74 0 obj <> endobj 75 0 obj <> endobj 76 0 obj (Conclusion) endobj 77 0 obj <> endobj 78 0 obj <> endobj 79 0 obj <> endobj 80 0 obj (5. Quasi Einstein Hypersurfaces) endobj 81 0 obj <> endobj 82 0 obj <> endobj 83 0 obj <> endobj 84 0 obj (Geometric quantities) endobj 85 0 obj <> endobj 86 0 obj <> endobj 87 0 obj <> endobj 88 0 obj (5.1. Proof of the C1-closeness) endobj 89 0 obj <> endobj 90 0 obj <> endobj 91 0 obj <> endobj 92 0 obj (5.2. The oscillation argument: proof of Proposition 5.5) endobj 93 0 obj <> endobj 94 0 obj <> endobj 95 0 obj <> endobj 96 0 obj (5.3. Conclusion) endobj 97 0 obj <> endobj 98 0 obj <> endobj 99 0 obj <> endobj 100 0 obj (6. Appendix) endobj 101 0 obj <> endobj 102 0 obj <> endobj 103 0 obj <> endobj 104 0 obj (Proof of Proposition 2.5 and Lemma 5.9) endobj 105 0 obj <> endobj 106 0 obj <> endobj 107 0 obj <> endobj 108 0 obj (Acknowledgements) endobj 109 0 obj <> endobj 110 0 obj <> endobj 111 0 obj <> endobj 112 0 obj (References) endobj 113 0 obj <> endobj 114 0 obj <> endobj 115 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[187.719 549.509 200.62 558.371]/Subtype/Link/Type/Annot>> endobj 116 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[164.378 510.655 171.825 519.517]/Subtype/Link/Type/Annot>> endobj 117 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[176.384 510.655 183.831 519.517]/Subtype/Link/Type/Annot>> endobj 118 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[188.39 510.655 201.291 519.517]/Subtype/Link/Type/Annot>> endobj 119 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[205.851 510.655 218.752 519.517]/Subtype/Link/Type/Annot>> endobj 120 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[223.311 510.655 236.213 519.517]/Subtype/Link/Type/Annot>> endobj 121 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[240.772 510.655 253.673 519.517]/Subtype/Link/Type/Annot>> endobj 122 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[258.233 510.655 271.134 519.517]/Subtype/Link/Type/Annot>> endobj 123 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[451.697 497.703 464.598 506.566]/Subtype/Link/Type/Annot>> endobj 124 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[469.272 497.703 482.174 506.566]/Subtype/Link/Type/Annot>> endobj 125 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[486.848 497.703 499.75 506.566]/Subtype/Link/Type/Annot>> endobj 126 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[367.037 484.752 379.938 493.614]/Subtype/Link/Type/Annot>> endobj 127 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[237.619 458.849 250.52 467.711]/Subtype/Link/Type/Annot>> endobj 128 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[525.103 458.849 538.004 467.711]/Subtype/Link/Type/Annot>> endobj 129 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[184.275 381.141 197.176 390.003]/Subtype/Link/Type/Annot>> endobj 130 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[444.666 381.141 452.113 390.003]/Subtype/Link/Type/Annot>> endobj 131 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[490.367 355.238 497.815 364.1]/Subtype/Link/Type/Annot>> endobj 132 0 obj <>/AP<>/Border[0 0 1]/C[1 0 0]/F 4/H/I/Rect[433.761 327.214 441.099 338.842]/Subtype/Link/Type/Annot>> endobj 133 0 obj <>/AP<>/Border[0 0 1]/C[1 0 0]/F 4/H/I/Rect[272.511 314.262 280.067 325.891]/Subtype/Link/Type/Annot>> endobj 134 0 obj <>/AP<>/Border[0 0 1]/C[1 0 0]/F 4/H/I/Rect[159.29 301.311 166.841 312.939]/Subtype/Link/Type/Annot>> endobj 135 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[446.181 123.052 453.628 131.915]/Subtype/Link/Type/Annot>> endobj 136 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[458.242 123.052 465.689 131.915]/Subtype/Link/Type/Annot>> endobj 137 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[470.303 123.052 483.204 131.915]/Subtype/Link/Type/Annot>> endobj 138 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[487.818 123.052 500.719 131.915]/Subtype/Link/Type/Annot>> endobj 139 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[505.333 123.052 518.235 131.915]/Subtype/Link/Type/Annot>> endobj 140 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[522.848 123.052 535.75 131.915]/Subtype/Link/Type/Annot>> endobj 141 0 obj <>/AP<>/Border[0 0 1]/C[0 1 0]/F 4/H/I/Rect[83.718 110.101 96.62 118.963]/Subtype/Link/Type/Annot>> endobj 142 0 obj <>/Pattern 2 0 R/ProcSet[/PDF /Text]>> endobj 143 0 obj <> stream xڽ\[sF~ϯཱྀ5"}C79)GTH,LHB{NF7L;`;X|X*|>՟_h`E^[_<_hY47ٳ/\deYe>{j7?\^?/g75=|wsߩdz7o^~?^}|osbĸW/Uƽ˫)]WC//_~Œq~w; ǟ_p0yUIQ\0X~)\_,WB/)WK3j[f,PW7/^E"Y]劉ŊW*[v?n'Óm]h/lˢ\ZL0ѻYc-y\PXf]*k~_"kn5uPŮŮko7]}u|ϏkPp*:s A~)ҍ9r~ WDžN;$B5HB2 bJI.A䦨~ܬ:I>l;l zz+D2eU4X*ol _K>,/K3]#U:,ݸf1lI\v]m2SC:<@ok9vw7fɐgi{74>,mfj2JLnEVo-iK ^:ӻxLb>s l٫OVV@@b%.g:OW`Z=m~)CKv@Un2${CpA1$۵k݈vi{=r 砅@oZK1ich6}]=!#orC\ʲS+-)}9*sV^rf*B>GL u|/|6JׯleWp٬O`M v;Gm>zO,-` @Mغ'7qJgOj}|hvhL1M7S 7M0jZA[FP߶< {h`-}!;+}{|jd{)ɅtʉGlp{;S3F IoO5v6v[47wt:m^:β.[ f :=_V~Cvz% V 8nix$}9+fLJ'qYUi77f&`TԂ{`5 'Ю@lj ?> J7dR_Tq.8x̢tPe^PK?.`%l8β^7