Constructions of harmonic maps between Hadamard manifolds

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$Tohoku Math. J. First Series General Index$

Editorial Board Shigetoshi Bando Masanori Ishida Katsuei Kenmotsu Hideo Kozono Yasuo Morita Tetsuo Nakamura Seiki Nishikawa Tadao Oda Norio Shimakura Toshikazu Sunada Izumi Takagi Toyofumi Takahashi Masayoshi Takeda Kazuyuki Tanaka Yoshio Tsutsumi Eiji Yanagida Takashi Yoshino Akihiko Yukie This series aims to publish material related to the activities of the Mathematical Institute of Tohoku University. This may include: 1. Theses submitted to the Institute by grantees of the degree of Doctor of Science. 2. Proceedings of symposia as well as lecture notes of the Institute. A primary advantage of the series lies in quick and timely publication. Consequently, some of the material published here may very likely appear elsewhere in final form. Tohoku Mathematical Publications Mathematical Institute Tohoku University Sendai 980-8578, Japan
Constructions of harmonic maps between Hadamard manifolds A thesis presented by Keisuke Ueno to The Mathematical Institute for the degree of Doctor of Science Tohoku University Sendai, Japan September 2001
Page 1: ISSN 1343-9499 TOHOKU MATHEMATICAL
Page 5 and 6: 2 Abstract In this thesis, we prese
Page 7 and 8: 4 Introduction Let (M,g) and (M ′
Page 9 and 10: 6 that for any point z ∈ S m+n−
Page 11 and 12: 8 Equivariant harmonic maps have be
Page 13 and 14: 10 vanishing sectional curvatures f
Page 16 and 17: CHAPTER 1 Ordinary differential equ
Page 18 and 19: 1.1. LOCAL EXISTENCE OF SOLUTIONS T
Page 34 and 35: 1.2. GLOBAL PROPERTIES OF SOLUTIONS
Page 44 and 45: 1.3. ADDENDUM 41 Theorem 1.2.11. Th
Page 46 and 47: CHAPTER 2 Equivariant harmonic maps
Page 48 and 49: 2.1. EIGENMAPS 45 Following a metho
Page 50 and 51: 2.1. EIGENMAPS 47 Then the restrict
Page 52 and 53:
2.1. EIGENMAPS 49 exists a full ort
Page 54 and 55:
2.2. REDUCTION OF HARMONIC MAP EQUA
Page 56 and 57:
2.3. CONSTRUCTIONS OF EQUIVARIANT H
Page 58 and 59:
Page 60:
Page 63 and 64:
60 CHAPTER 3. DAMEK-RICCI SPACES a
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62 CHAPTER 3. DAMEK-RICCI SPACES in
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64 CHAPTER 3. DAMEK-RICCI SPACES wh
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66 CHAPTER 3. DAMEK-RICCI SPACES (2
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68 CHAPTER 3. DAMEK-RICCI SPACES Si
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70 CHAPTER 3. DAMEK-RICCI SPACES Th
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CHAPTER 4 Non-existence of proper h
Page 78 and 79:
4.1. PROOF OF THEOREM 75 Moreover,
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4.1. PROOF OF THEOREM 77 Propositio
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4.2. A COUNTER EXAMPLE 79 where (y,
Page 84 and 85:
4.2. A COUNTER EXAMPLE 81 Hence we
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Bibliography [1] K. Akutagawa, Harm
Page 88 and 89:
BIBLIOGRAPHY 85 [21] A. Kaplan, Fun
Page 90 and 91:
BIBLIOGRAPHY 87 [44] R. Wood, Polyn
Page 92:
No.16 Tatsuo Konno: On the infinite
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Constructions of harmonic maps between Hadamard manifolds

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