1547845440-The_Ricci_Flow_-_Techniques_and_Applications_-_Part_III__Chow_

J. SOLUTIONS TO SELECTED EXERCISES 501 which we also denote by b'Y. We have b'Y ([(Bi, r)]) = 8 ~~ (s - dcone(S];) ([(B1, r)], " ...

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Bibliography [1] Abresch, Uwe. Lower curvature bounds, Toponogov's theorem, and bounded topology. Ann. Sci. Ecole Norm. Sup. (4) ...

504 BIBLIOGRAPHY small errors to the book "A course in metric geometry": http://www.pdmi.ras.ru/ staff/burago.html#English [19] ...

BIBLIOGRAPHY 505 [38] Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung. On the upper estimate of the heat kernel of a complete Riema ...

506 BIBLIOGRAPHY [60] Fabes E. B.; Garofalo, N. Mean value properties of solutions to parabolic·equations with variable coeffici ...

BIBLIOGRAPHY 507 [81] Grove, Karsten. Critical point theory for distance functions. Differential geometry: Riemannian geometry ( ...

508 BIBLIOGRAPHY [104] Kapovitch, Vitali; Petrunin, Anton; Tuschmann, Wilderich. Nilpotency, almost non- negative curvature and ...

BIBLIOGRAPHY 509 [129) Milnor, John W. Morse theory. Based on lecture notes by M. Spivak and R.·Wells. Annals of Mathematics Stu ...

510 BIBLIOGRAPHY [153] Perelman, Grisha. Ricci flow with surgery on three-manifolds. arXiv:math.DG/ 0303109. [154] Perelman, Gri ...

BIBLIOGRAPHY 511 [177] Tam, Luen-Fai. Construction of an exhaustion function on complete manifolds. Preprint. [178] Topping, Pet ...

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adjoint heat kernel, 171 operator, 3, 90 Aleksandrov space, 403 · cut locus, 409 exponential map, 408 splitting theorem, 407· a- ...

514 difference quotient, 428 differential Harnack estimate, 318 dilatation, 414 dimension classic, xi reduces, 53 reduction, 54 ...

of degree 1, 428 injectivity radius estimate Cheeger-Gromov-Taylor, 81 integral curve for Y' f /IV fl^2 , 444 interior tangent c ...

516 localized weakened, 69 weakened, 113 normal bundle, 462 notation, xvii v-invariant, 3 parabolic cylinder, 184, 306 parabolic ...

convex subset, 460 K:-collapsed, 112 sublevel set of a Busemann function, 459 sublinear, 432 submanifold totally geodesic, 462 s ...

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