Tubes

Front Cover
Springer Science & Business Media, Jan 22, 2004 - Mathematics - 280 pages
0 Reviews
In July 1998, I received an e-mail from Alfred Gray, telling me: " . . . I am in Bilbao and working on the second edition of Tubes . . . Tentatively, the new features of the book are: 1. Footnotes containing biographical information and portraits 2. A new chapter on mean-value theorems 3. A new appendix on plotting tubes " That September he spent a week in Valencia, participating in a workshop on Differential Geometry and its Applications. Here he gave me a copy of the last version of Tubes. It could be considered a final version. There was only one point that we thought needed to be considered again, namely the possible completion of the material in Section 8. 8 on comparison theorems of surfaces with the now well-known results in arbitrary dimensions. But only one month later the sad and shocking news arrived from Bilbao: Alfred had passed away. I was subsequently charged with the task of preparing the final revision of the book for the publishers, although some special circumstances prevented me from finishing the task earlier. The book appears essentially as Alred Gray left it in September 1998. The only changes I carried out were the addition of Section 8. 9 (representing the discus sion we had), the inclusion of some new results on harmonic spaces, the structure of Hopf hypersurfaces in complex projective spaces and the conjecture about the volume of geodesic balls.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

III
1
IV
2
V
11
VI
13
VII
19
VIII
20
IX
25
X
29
XLVIII
122
XLIX
123
L
126
LI
133
LII
135
LIII
138
LIV
139
LV
140

XI
31
XII
32
XIII
36
XIV
40
XV
42
XVI
44
XVII
48
XVIII
51
XIX
53
XX
54
XXI
57
XXII
60
XXIII
62
XXIV
67
XXV
68
XXVI
71
XXVII
72
XXVIII
73
XXIX
75
XXX
78
XXXI
80
XXXII
81
XXXIII
83
XXXIV
85
XXXV
86
XXXVI
92
XXXVII
94
XXXVIII
98
XXXIX
100
XL
101
XLI
105
XLII
108
XLIII
109
XLIV
110
XLV
112
XLVI
117
XLVII
118
LVI
143
LVII
144
LVIII
147
LIX
157
LX
164
LXI
167
LXII
171
LXIII
174
LXIV
177
LXV
180
LXVI
182
LXVII
185
LXVIII
186
LXIX
194
LXX
200
LXXI
206
LXXII
209
LXXIII
212
LXXIV
216
LXXV
219
LXXVI
223
LXXVII
225
LXXVIII
227
LXXIX
231
LXXX
232
LXXXI
236
LXXXII
237
LXXXIII
242
LXXXIV
247
LXXXVI
249
LXXXVII
252
LXXXVIII
255
LXXXIX
273
XC
277
XCI
279
Copyright

Common terms and phrases

Popular passages

Page 266 - H. Hotelling, Tubes and spheres in n-space and a class of statistical problems, Amer. J. Math. 61 (1939), 440-460.
Page 266 - S. Kobayashi, On conjugate and cut loci, STUDIES IN GLOBAL GEOMETRY AND ANALYSIS (SS Chern, ed.
Page 266 - On Hotelling's formula for the volume of tubes and Naiman's inequality, Ann. Statist. 17, 184-194.
Page 268 - Palmer, Vicente) A comparison theorem for the mean exit time from a domain in a Kahler manifold. Ann. Global Anal. Geom. 10, No.

References to this book

All Book Search results »

Bibliographic information