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1

Yang–Mills theory and conjugate connections

Sorin Dragomir, Toshiyuki Ichiyama, Hajime Urakawa

Journal:

Differential Geometry and its Applications

Year:

2003

Language:

english

File:

PDF, 101 KB

english, 2003

2

Rigidity of transversally biharmonic maps between foliated Riemannian manifolds

OHNO, Shinji, SAKAI, Takashi, URAKAWA, Hajime

Journal:

Hokkaido Mathematical Journal

Year:

2018

Language:

english

File:

PDF, 236 KB

english, 2018

3

Heat Kernel and Green Kernel Comparison Theorems for Infinite Graphs

Journal:

Journal of Functional Analysis

Year:

1997

Language:

english

File:

PDF, 396 KB

english, 1997

4

Harmonic maps into Lie groups and homogeneous spaces

Yu-Jie Dai, Michihiko Shoji, Hajime Urakawa

Journal:

Differential Geometry and its Applications

Year:

1997

Language:

english

File:

PDF, 693 KB

english, 1997

5

Stability of harmonic maps and eigenvalues of the Laplacian

Urakawa, Hajime

Journal:

Transactions of the American Mathematical Society

Year:

1987

Language:

english

File:

PDF, 3.09 MB

english, 1987

6

Stability of Harmonic Maps and Eigenvalues of the Laplacian

Journal:

Transactions of the American Mathematical Society

Year:

1987

Language:

english

File:

PDF, 704 KB

english, 1987

7

Development of function-graded proton exchange membrane for PEFC using heavy ion beam irradiation

Fumiya Shiraki, Taeko Yoshikawa, Akihiro Oshima, Yuji Oshima, Yuya Takasawa, Naoyuki Fukutake, Tomoko Gowa Oyama, Tatsuya Urakawa, Hajime Fujita, Tomohiro Takahashi, Toshitaka Oka, Hisaaki Kudo, Takes

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

2011

Language:

english

File:

PDF, 596 KB

english, 2011

8

On exponential Yang-Mills connections

Fumiaki Matsura, Hajime Urakawa

Journal:

Journal of Geometry and Physics

Year:

1995

Language:

english

File:

PDF, 730 KB

english, 1995

9

Discrete improper affine spheres

Nozomu Matsuura, Hajime Urakawa

Journal:

Journal of Geometry and Physics

Year:

2003

Language:

english

File:

PDF, 266 KB

english, 2003

10

Classification of harmonic mappings of constant energy density into spheres

Joon-Sik Park, Hajime Urakawa

Journal:

Geometriae Dedicata

Year:

1991

Language:

english

File:

PDF, 615 KB

english, 1991

11

Yang-Mills connections over compact strongly pseudoconvex CR manifolds

Journal:

Mathematische Zeitschrift

Year:

1994

Language:

english

File:

PDF, 1.22 MB

english, 1994

12

The Cheeger Constant, the Heat Kernel, and the Green Kernel of an Infinite Graph

Journal:

Monatshefte für Mathematik

Year:

2003

Language:

english

File:

PDF, 136 KB

english, 2003

13

Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature

Nobumitsu Nakauchi, Hajime Urakawa

Journal:

Annals of Global Analysis and Geometry

Year:

2011

Language:

english

File:

PDF, 128 KB

english, 2011

14

Eigenvalue Comparison Theorems of the Discrete Laplacians for a Graph

Journal:

Geometriae Dedicata

Year:

1999

Language:

english

File:

PDF, 110 KB

english, 1999

15

Anaplastic lymphoma kinase negative sarcomatoid variant of anaplastic large-cell lymphoma presenting as a malignant fibrous histiocytoma

Akira Ogose,Hajime Umezu,Koji Nikkuni,Takaaki Urakawa,Tetsuo Hotta

Journal:

Virchows Archiv

Year:

2003

Language:

english

File:

PDF, 436 KB

english, 2003

16

Activating Gs α mutation at the arg201 codon in liposclerosing myxofibrous tumor

Atsushi Matsuba, Akira Ogose, Kunihiko Tokunaga, Hiroyuki Kawashima, Tetsuo Hotta, Sayuri Urakawa, Hajime Umezu, Takeshi Higuchi, Naoto Endo

Journal:

Human Pathology

Year:

2003

Language:

english

File:

PDF, 614 KB

english, 2003

17

Biharmonic Submanifolds in a Riemannian Manifold with Non-Positive Curvature

Nobumitsu Nakauchi, Hajime Urakawa

Journal:

Results in Mathematics

Year:

2013

Language:

english

File:

PDF, 187 KB

english, 2013

18

Biharmonic maps into a Riemannian manifold of non-positive curvature

Nakauchi, Nobumitsu, Urakawa, Hajime, Gudmundsson, Sigmundur

Journal:

Geometriae Dedicata

Year:

2014

Language:

english

File:

PDF, 167 KB

english, 2014

19

Dielectric Normal Mode Relaxation of Poly(lactone)s in Solution

Urakawa, Osamu, Adachi, Keiichiro, Kotaka, Tadao, Takemoto, Yasunori, Yasuda, Hajime

Journal:

Year:

1994

Language:

english

File:

PDF, 566 KB

english, 1994

20

Numerical Computations of the Spectra of the Laplacian on 7-Dimensional Homogeneous Manifolds ${{SU(3)} / {T(k,l)}}$

Urakawa, Hajime

Journal:

SIAM Journal on Mathematical Analysis

Year:

1984

Language:

english

File:

PDF, 630 KB

english, 1984

21

Yang–Mills fields on CR manifolds

Barletta, Elisabetta, Dragomir, Sorin, Urakawa, Hajime

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 610 KB

english, 2006

22

Spectra of Some Domains in Compact Lie Groups and Their Applications

Urakawa, Hajime

Journal:

Proceedings of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 280 KB

english, 1986

23

BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS

MAETA, SHUN, URAKAWA, HAJIME

Journal:

Glasgow Mathematical Journal

Year:

2013

Language:

english

File:

PDF, 124 KB

english, 2013

24

Triharmonic isometric immersions into a manifold of non-positively constant curvature

Maeta, Shun, Nakauchi, Nobumitsu, Urakawa, Hajime

Journal:

Monatshefte für Mathematik

Year:

2015

Language:

english

File:

PDF, 220 KB

english, 2015

25

Harmonic Maps and Biharmonic Maps

Urakawa, Hajime

Journal:

Year:

2015

Language:

english

File:

PDF, 271 KB

english, 2015

26

AIP Conference Proceedings [AIP ALEXANDRU MYLLER MATHEMATICAL SEMINAR CENTENNIAL CONFERENCE - Iaşi, (Roma^nia) (21–26 June 2010)] - Biharmonic maps into compact Lie groups, and symmetric spaces

Urakawa, Hajime, Barbu, Viorel, Ca^rjǎ, Ovidiu

Year:

2011

Language:

english

File:

PDF, 197 KB

english, 2011

27

Bubbling phenomena of biharmonic maps

Nakauchi, Nobumitsu, Urakawa, Hajime

Journal:

Journal of Geometry and Physics

Year:

2015

Language:

english

File:

PDF, 490 KB

english, 2015

28

Indices and Nullities of Yang-Mills Fields

Journal:

Proceedings of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 161 KB

english, 1986

29

Eigenvalue Pinching Theorems on Compact Symmetric Spaces

Yuuichi Suzuki and Hajime Urakawa

Journal:

Proceedings of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 176 KB

english, 1998

30

Biharmonic homogeneous hypersurfaces in compact symmetric spaces

Ohno, Shinji, Sakai, Takashi, Urakawa, Hajime

Journal:

Differential Geometry and its Applications

Year:

2015

Language:

english

File:

PDF, 493 KB

english, 2015

31

Geometry of Sasaki manifolds, Kähler cone manifolds and bi-harmonic submanifolds

Urakawa, Hajime

Journal:

Topology and its Applications

Year:

2015

Language:

english

File:

PDF, 320 KB

english, 2015

32

A discrete analogue of the harmonic morphism and green kernel comparison theorems

Urakawa, Hajime

Journal:

Glasgow Mathematical Journal

Year:

2000

Language:

english

File:

PDF, 211 KB

english, 2000

33

Conformal change of Riemannian metrics and biharmonic maps

Naito, Hisashi, Urakawa, Hajime

Journal:

Indiana University Mathematics Journal

Year:

2014

Language:

english

File:

PDF, 473 KB

english, 2014

34

Minimal immersions of projective spaces into spheres

Urakawa, Hajime

Journal:

Tsukuba Journal of Mathematics

Year:

1985

Language:

english

File:

PDF, 1.86 MB

english, 1985

35

Self-dual connections of homogeneous principal bundles over quaternionic Kaehler symmetric spaces

Urakawa, Hajime

Journal:

Tsukuba Journal of Mathematics

Year:

1996

Language:

english

File:

PDF, 715 KB

english, 1996

36

A conformal gauge invariant functional for Weyl structures and the first variation formula

Ichiyama, Toshiyuki, Furuhata, Hitoshi, Urakawa, Hajime

Journal:

Tsukuba Journal of Mathematics

Year:

1999

Language:

english

File:

PDF, 940 KB

english, 1999

37

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || The Payne, Pólya and Weinberger Type Inequalities for the Dirichlet Eigenvalues

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 405 KB

english, 2017

38

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || The Estimations of the k th Eigenvalue and Lichnerowicz-Obata’s Theorem

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 497 KB

english, 2017

39

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || The Heat Equation and the Set of Lengths of Closed Geodesics

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 737 KB

english, 2017

40

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || Negative Curvature Manifolds and the Spectral Rigidity Theorem

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 624 KB

english, 2017

41

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || Cheeger and Yau Estimates on the Minimum Positive Eigenvalue

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 450 KB

english, 2017

42

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || The Space of Riemannian Metrics, and Continuity of the Eigenvalues

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 448 KB

english, 2017

43

$CR$ rigidity of pseudo harmonic maps and pseudo biharmonic maps

URAKAWA, Hajime

Journal:

Hokkaido Mathematical Journal

Year:

2017

Language:

english

File:

PDF, 318 KB

english, 2017

44

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || BACK MATTER

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 188 KB

english, 2017

45

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || Fundamental Materials of Riemannian Geometry

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 388 KB

english, 2017

46

Spectral Geometry of the Laplacian (Spectral Analysis and Differential Geometry of the Laplacian) || FRONT MATTER

Urakawa, Hajime

Year:

2017

Language:

english

File:

PDF, 395 KB

english, 2017

47

Reflection groups and the eigenvalue problems of vibrating membranes with mixed boundary conditions

Urakawa, Hajime

Journal:

Tohoku Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 693 KB

english, 1984

48

AIP Conference Proceedings [AIP ALEXANDRU MYLLER MATHEMATICAL SEMINAR CENTENNIAL CONFERENCE - Iaşi, (Roma^nia) (21–26 June 2010)] - Biharmonic maps into compact Lie groups, and symmetric spaces

Urakawa, Hajime

Year:

2011

Language:

english

File:

PDF, 222 KB

english, 2011

49

Lower bounds for the eigenvalues of the fixed vibrating membrane problems

Urakawa, Hajime

Journal:

Tohoku Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 391 KB

english, 1984

50

Homogeneous minimal hypersurfaces in the unit spheres and the first eigenvalues of their Laplacian

Mutō, Hideo, Ohnita, Yoshihiro, Urakawa, Hajime

Journal:

Tohoku Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 1.27 MB

english, 1984