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Berger M. — A Panoramic View of Riemannian Geometry
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Название: A Panoramic View of Riemannian GeometryАвтор: Berger M. Аннотация: In his latest book A Panoramic View of Riemannian Geometry, Marcel Berger does a remarkable job giving an in-depth survey ranging over almost the full spectrum of Riemannian geometry, furnishing the reader with some of the most exciting and elegant topics from classical to modern, and from local to global Riemannian geometry.
Язык: Рубрика: Математика /Геометрия и топология /Дифференциальная геометрия /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2003Количество страниц: 872Добавлена в каталог: 12.11.2004Операции: Положить на полку |
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Product warped 215 601 Programming computer 2 Projective complex 171 Projective plane real 164 Projective quaternionic 171 Projective real 168 258 303 Projective space 213 228 260 304 315—321 414—415 593 594 604 Protractor 20 Pruefer, Friedbert 236 Przytycki, F. 5 7 112 Pseudo-Riemannian manifold 709 Pu theorem 352 Pu, P.M. 352 Puettmann, Thomas 605 Pullback 185 Pure polarized F structure 540 658 Quadric 42 Quadric homofocal 44 Quantum chaos 450 Quasi-isometry 633 Quasimode 107 432 Quaternionic Kaehler manifold 674 Quaternionic projectire plane exotic 490 Quaternions 164 Quotient space 203—206 Rademacher, Hans-Bert 490—492 710 Radius convexity 302 Radius filling 367 Radius of curvature 13 Radius of surface 49 Rado, Tibor 157 Radon transform 462 Railway metric 636 Rank of a map 183 Rank of Riemannian manifold 273 509 Rank of symmetric space 213 255 314 487 502 509 606 634 636 639 Rank of unit vector 273 Raphael, E. 26 Rasevskii, P.K. 774 Ratcliffe, John G. 38 196 201 206 315 318 320 359 Rational homotopy 178 Rationally elliptic 486 619 Rationally hyperbolic 486 619 Ratto, Andrea 61 151 701 Rauch comparison theorem 282 283 Rauch, H.E. 282 283 296 571 579 Ray 612 Ray — Singer torsion 453 Ray, D.B. 453 Rayleigh, John William 94 Real analytic 51 Real manifold 163 Real projective plane 164 340 352 Real projective space 258 303 Real Riemannian metric 163 Real spinor 694 Real, Christophe 555 Recknagel, Andreas 665 681 Reducible Riemannian manifold 203 Reeb’s theorem 581 Regular simplex 201 Reid, Alan W. 474 Reidemeister torsion 454 Residual 78 491 Resonance 92 417 Rham, Georges de 177 178 186 188 248—251 734 Ricci calculus 730 Ricci curvature 267 Ricci fiat metric 549 Ricci, Fulvio 314 Ricci, Giambattista 267 Riemann curvature tensor 117 Riemann hypothesis 448 Riemann surface 176 446 Riemann, Bernhard 116 194 277 Riemannian covering space 203 Riemannian manifold 193 Riemannian metric 191 Riemannian real analytic 163 Riemannian reducible 203 Riemannian structure 194 Riemannian submersion 213—215 230 745 Rigid body 116 Rigidity theorem 586 Rinow, Willi 248—251 Ritore, Manuel 342 Robert, Gilles F. 511 Rodrigues — Gaub map 66 127 153 158 Rodrigues, Olinde 66 127 153 158 Rollin, Yann 552 Rolling surface theorem 65 Rong, Xiaochun 453 540 542 547 611 617 618 687 Ros, Antonio 342 Rosenberg, Jonathan 627 628 Rotman, Regina 362 372 376 Rough Laplacian 732 Roy, Marie-Franqoise 179 Rozansky — Witten invariant 742 Rozoy, L. 55 Rudnick, Zeev 431 450 451 687 Ruh, Bernhard 234 Ruh, Ernst A. 579 583 594 595 656 Ruled surface 70 Sabitov, I. 148 Sabourau, S. 362 367 Sachs, Rainer Kurt 710 Saff, E.B. 568 Sakai, Takashi 30 162 193 209 215 229 251 280 282 294 296 303 305 327 328 349 377 386 387 399 427 578 596 612 615 640 745 746 Salamon, Dietmar 682 Salamon, Simon M. 664 672 676 677 680 681 Sambusetti, Andrea 558 Samelson, Hans 230 518 671 Sampson, J.H. 684 701 Sands, Matthew 11 Santalo, Luis A. 388 717 Santalo’s formula 388 Sario, Leo 157 Sarnak, Peter 86 90 97 99 107 110 366 431 438 443 444 450 451 529 687 Sasakian 427 Satake, I. 703 Savo, Alessandro 348 411 425 438 Scalar product 192 Scar 107 451 Scherbel, H. 54 Schiemann, Alexander 441 Schlenker, Jean-Marc 150 702 Schmidt, Erhard 30 77 Schmutz, Paul 449 Schneider, Rolf 717 Schnirelmann, L.G. 492 Schoen, Richard 320 561 627 628 688 Schouten, J.A. 223 731 Schrader, Robert 257 347 704 Schroeder, Viktor 278 280 503 504 509 523 598 632 633 635—639 687 688 Schroedinger equation 79 400 405 525 Schueth, Dorothee 443 SchwachhSfer, Lorenz J. 606 Schwartz, Richard 456 Schwarz symmetrization 95 Scott, Peter 702 Seaman, Walter 587 Second Bianchi identity 731 Second fundamental form 53—61 232 337 Second on a surface 54 Second variation 133 264 Secondary characteristic class 697 Segment 40 244 Seiberg — Witten equations 558 Seiberg — Witten invariants 559 Seiberg, N. 179 528 701 Seifert, Herbert 176 Selberg trace formula 416 447 450 Selberg, Atle 398 471 Semiclassical limit 400 450 Semmelmann, Uwe 674 Semmes, Stephen 392 688 Semmler, Klaus-Dieter 99 Seppala, Mika 317 Series, Fourier 30 Serre, Jean-Pierre 441 480 Sha, Ji-Ping 621 Shanlmr, Krishnan 611 Sharafutdinov, Vladimir A. 444 445 Shen, Zhongmin 688 Shi, Wan-Xiong 656 Shikata, Yoshihiro 583 652 654 Shimizu, Yasushi 451 Shiohama, Katsuhiro 309 579 581 583 584 590 705 Shiokawa, Iekata 112 Shioya, Takashi 687 704 Shnirel’man, A. 437 Shortest path 244 Shteingold, S.D. 348 595 650 Shudo, Akira 451 Siebenmann, Laurence C. 178 641 Sign of Einstein metric 549 Signature 743 Simon, Leon M. 368 717 Simons, James 670 697 698 Simple plane curve 12 Simple point 614 Simplicial volume 255 544 568 Simply connected 168 Sinai, Yakov G. 5 460 498 501 Sinclair, R. 46 Singer, David A. 144 308 Singer, I.M. 103 171 226 227 236 398 418 428 452 453 669 699 Singerman, David 317 Singularity conical 703 Siu, Yum Tong 633 683 684 Skein 486 Skinny 78 Skorniakov, L. 464 708 Sloane, N.J.A. 110 365 441 609 610 Smale, Stephen 550 557 568 Small eigenvalue 447 Smirnov, M. 709 Smooth 162 Smyth, Brian 55 Sobolev, Sergei L. 349 Socie-Methou, Edith 709 Softel, Michael 167 Sommese, Andrew John 681 Sotomayor, Jorge 54 Soul 611 Soule, Christophe 698 700 Space covering 167 203—206 Space form 166 274—277 311—321 Space homogeneous 170 206—209 321 Space hyperbolic 195 Space length 4 Space lens 269 Space locally symmetric 209 Space mean value 499 Space of paths 480 Space projective 213 228 260 315—321 414—415 604 Space projective complex 171 Space projective quaternionic 171 Space projective real 168 Space quotient 203—206 Space Riemannian covering 203 Space symmetric 209 Space symmetric rank 1 320—321 Space symmetric rank > 1 321 Spatzier, R.J. 258 Special Laplacian 693 Special orthogonal group 164 Spectral gaps 417 Spectrum X 85 404 Spectrum length 85 429 Speed 11 Speed of sound 83 Sphere at infinity 318 321 511 635 Sphere exotic 582 Sphere theorem 580 Spherical codes 609 Spherical harmonics 30 110 Spherical trigonometry 36 Spin structure 695 Spinor 694 Spinor bundle 694 695 Spinor field 695 Spinor real 694 Spivak, Michael 2 20 59 162 163 222 232 708 716 735 Splitting theorem 622 Stability of minimal manifold 692 Stable 78 Stable systole 375 Stadium Bunimovitch 7 Starfish three-legged 476 Stasheff, James D. 178 641 741 Steenrod, Norman 697 Steiner symmetrization 31 Steiner’s quadrilateral 31 Stepin, A.M. 7 Sterling, I. 151 Sternberg, Shlomo 2 120 399 427 Stiefel — Whitney classes 695 Stillwell, John 157 176 Stoker, J.J. 2 20 21 120 148 152 Stokes, Sir George Gabriel 188 Stokes’ Theorem 188 Stolfi, Noelle 79 Stolz, Stephan 620 627 628 630 642 Stone — Weierstras theorem 406 414 Straightedge 19 Strangulation 476 Strelcyn, Jean-Marie 5 7 112 Stroboscope 85 Stroock, Daniel W. 424 426 711 Strutt, Baron 94 Sturm — Liouville theory 136 338 426 466 Sub-Riemannian geometry 707 Submanifold 716 Submanifold embedded 169 Submanifold immersed 169 Submanifold totally geodesic 254—255 Submersion 183 Submersion Riemannian 213—215 230 745 Suciu, Alexander I. 372—374 Sukhov, Yu.M. 460 Sullivan, Dennis 178 490 619 683 690 Sum connected 218 Sunada, Toshikazu 441 Supermanifold 700 Superrigidity 321 Supersymmetry 700 surface 33—79 119—158 Surface constant curvature 38 133 274—277 528 Surface Delaunay 61 Surface Klein 317 Surface of revolution 42 Surface Riemann 176 Surface Weingarten 150 Surface Weinstein 464 Surface Zoll 461 Surgery 174 215—218 Surgery trivial 218 Suyama, Yoshihiko 583 Svarc, A.S. 330
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