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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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Swann, Andrew 678 Symbol 402 Symmetric locally 209 Symmetric rank 1 314 Symmetric space 209 314 Symplectic complex 680 Symplectic geometry 682 684 Synge theorem 269 300 Synge, John L. 269 300 Synthetic geometry 601 Systole 270 351 531 Systole homological 362 Systole k dimensional 372 Systole stable 375 Systolic (p,q) freedom 373 Systolic (p,q) softness 373 Systolic inequalities X Systolic quotient 352 Systolic ratio (or quotient) 354 SzabS, Z.I. 314 443 Szegoe, G. 91 94 T structure 540 658 Tabachnikov, Serge 5 7 73 Table, billiard 4 Tachibana, Shun-ichi 236 Taimanov, Iskander A. 492 515 605 Takens, Floris 491 Takeuchi, Masaru 304 Talagrand, Michel 714 Tamura, Jun-ichi 112 Tanaka, Minoru 46 309 705 Tangent bundle 182 Tangent line 12 Tangent space 180 Tangent vector 181 Tanno, Shfikichi 423 Tapestry 474 Tapp, K. 689 Tarski — Seidenberg theorem 566 Taubes, Clifford Henry 558 Taylor, Michael 420 704 Teichmfiller space 471 Teichmfiller, Oswald 318 Telemetry 3 Tensor 720 Tensor natural 223 731 Tensor product 720 Terng, Chuu-Lian 716 Theorem Abresch — Meyer 300 Theorem Atiyah — Singer index 699 Theorem Ballmann — Wojtlowski 503 Theorem Bangert — Franks — Hingston 494 Theorem Bertrand — Puiseaux 124 Theorem Besicovitch’s 359 377 Theorem Besicovitch’s 377 Theorem Bieberbach 316 596 Theorem Bishop 334 Theorem Bonnet 140 Theorem Bonnet — Schoenberg — Myers 266 290 Theorem Brunn — Minkowski 31 Theorem Buchner — Wall 308 Theorem Burago — Ivanov 525 Theorem Cartan surface 234 Theorem Cartan — Janet 238 Theorem Cheeger finiteness 469 642 Theorem Cheeger — Colding 624 Theorem Cheeger — Rong 542 Theorem Colding 286 Theorem Colding 288 Theorem conformal representation 277 Theorem Croke’s embolic 381 Theorem Dai-Wei 290 Theorem de Rham 177 178 186 188 248 Theorem de Rham reducibility 251 Theorem Dvoretzky 74 329 Theorem Euler 308 Theorem Faber — Krahn 94 426 Theorem Frobenius 720 Theorem Gauss — Bonnet 125—130 547 Theorem Gauss — Bonnet global 155 Theorem Gauss — Bonnet local 125 Theorem Gromov — Lawson torus 631 Theorem Hardy — Littlewood — Karamata 421 422 Theorem Heintze 636 Theorem Heintze — Karcher 338 Theorem Hersch 434 Theorem Hilbert hyperbolic surface 152 Theorem Hirzebruch signature 743 Theorem Hodge — de Rham 691 Theorem Hopf — Rinow 249 Theorem hypersurface rigidity 233 Theorem isoperimetric inequality in 74 Theorem Jacobi’s last 144 Theorem Janet 238 Theorem KAM (Kolmogorov — Arnol’d — Moser) 432 490 506 Theorem Katok 510 Theorem Lichnerowicz 433 Theorem Liouville 383 498 Theorem Loewner 351 Theorem Morse 479 Theorem Morse’s index 480 Theorem Moser 188 Theorem Mostow rigidity 318 Theorem Myers — Cheng 268 286 336 Theorem Nash embedding 238 469 Theorem Nash — Kuiper 238 Theorem Nash — Tognoli 179 470 Theorem Palais 193 Theorem Patemain 503 Theorem positive mass 688 Theorem Pu 352 Theorem Rauch comparison 282 283 Theorem Reeb’s 581 Theorem rigidity 586 Theorem rolling surface 65 Theorem sphere 580 Theorem spherical isoperimetric inequality 328 Theorem splitting 622 Theorem Stokes’ 188 Theorem Stone — Weierstrab 406 Theorem Stone — Weierstrass 414 Theorem symmetric space 209 Theorem Synge 269 300 Theorem Tarski — Seidenberg 566 Theorem Toponogov comparison 281 Theorem triangle comparison 281 Theorem Tsulmmoto 522 Theorem von Mangoldt — Hadamard — Cartan 278 Theorem Weinstein 520 Theorem Whitney embedding 179 Theorem Wiedersehenmannigfaltigkeit 520 Theorem Wilhelm 270 Theorem Wolpert 449 Theorema egregium 119 Thomson, William (Lord Kelvin) 188 Thorbergsson, Gudlaugur 716 Thorpe, John A. 120 162 171 226 227 558 Three point transitive 314 Three-legged starfish 476 Threlfall, William 176 Thurston, William P. 320 596—598 703 Tian, Gang 555 656 688 703 Time mean value 499 Tits metric 321 635 Tits, J. 314 Toledo, Domingo 681 701 Tondeur, Philippe 709 Topalov, Peter J. 525 Topological entropy 482 501 515 Topological manifold 163 Topological transitivity 504 Toponogov comparison theorem 281 Toponogov, V.A. 281 282 623 Toro, Tatiana 335 Torsion free 724 Torsion of a connection 724 725 Torsion Ray — Singer 453 Torsion Reidemeister 454 Torus 168 Torus fiat 204 Totally convex 252 Totally geodesic submanifold 217 254—255 Trajectory periodic 6 Transformation Moebius 318 Transgression 481 Transitive three point 314 Treves, Franqois 104 399 407 427 Triangle comparison 281—291 Triangle on Riemannian manifold 281 Triangle Toponogov theorem 281 Tricerri, Franco 235 236 313 314 Trivial Jacobi vector field 273 Tsukamoto theorem 522 Tsukamoto, Chiaki 517 522 Tu, Loring W. 178 Tube formula 73—77 Turing machine 566 Turning number 22 Tuschmann, Wilderich 606 617 Twist type of periodic geodesic 490 Twistor 677 698 Twistor Konishi 677 Twistor space Berard Bergery/Salamon 676 Uhlenbeck, Karen K. 698 Umbilic 54 Umlaufsatz 22 Unit tangent bundle 383 393 Unit tangent sphere 244 Universal covering 168 Uryson, Pavel Samuilovich 618 Vafa, Cumrun 428 Valbre Bouche, Liane 707 Valdes, Antonio 223 731 van Kampen, E.R. 123 153 Vanhecke, Lieven 235 236 313 314 Varadhan, S.R.S. 424 Variation first 4 243—248 Variation second 264 Variational Principle 502 Vaugon, Michel 349 Vector field 720 Vector Jacobi 271 504 Vector trivial Jacobi 273 Veech, William A. 5 810 Velocity 11 Verbitsky, Mikhail 680 Vergne, Michble 399 420 422 689 694 696—700 743 744 Verovic, Patrick 708 Vershik, A.M. 460 Vertex 24 Vertical space 728 Vibrating membrane 83 Vigneras, Marie-France 316 441 445 523 Vigue-Poirrier, Micheline 490 Vilenkin, N.Ja. 774 Ville, Marina 546 547 597 Vinberg, E.B. 77 208 317 Visibility 636 Vlasek, Zdenek 553 Voisin, Claire 680 681 Volume 187 324 Volume cone 686 Volume entropy 501 Volume filling 367 Volume form 187 323 Volume simplicial 544 von Mangoldt — Hadamard — Cartan theorem 278 Vorobets, Ya.B. 7 Wadsley, A.W. 517 Wakakuwa, Hidekiyo 664 Walfisz, Arnold 412 Wall, C.T.C. 179 308 Wallace, Andrew H. 176 Wallach, Nolan R. 541 604 605 Walters, Peter 498 501 Walz, A. 148 Wang, Hsien-Chung 314 320 Wang, McKenzie Y. 552 553 556 560 605 Wang, Mu-Tao 28 70 Warner, Frank W. 162 184 186 188 627 630 691 Warped product 215 601 Wave equation 79 405 Waves 79—114 Wayne, C.Eugene 457 458 Webb, David L. 99 100 442 Wedge product 185 Wei, Guofang 290 348 594 595 650 651 656 Weil, Andre 347 681 735 739 Weinberger, Shmuel 528 536 545 562 567 568 Weingarten surface 150 Weinstein surface 464 Weinstein theorem 520 Weinstein, Alan 308 464 522 641 Weinstein, Tilla 710; see “Klotz Tilla” Weiss, Howard 515 Weiss, Michael 583 Weitzenboeck, Roland 734 Wells, Jr., R.O. 681 682 Wente, Henry C. 151 Weyl eigenvalue estimate 421 Weyl problem 237 Weyl, Hermann 123 237 421 739 812 Wheeden, Richard L. 3 Whispering gallery 90 Whitney embedding theorem 179 Whitney, Hassler 78 162 179 Widths of metric space 618 Wieacker, John A. 717 Wiedersehenmannigfaltigkeit theorem 520 Wilhelm theorem 270 Wilhelm, Jr., Frederick H. 270 362 367 583 585 594 624 Wilking, Burkhard 604 605 607 Willmore conjecture 152 Willmore, T.J. 152 716 Wintner, Aurel 123 Wirtinger inequality 142 692 Wirtinger, Wilhelm 692 Witten genus 620 Witten, E. 179 428 528 701 Wohlrab, Ortwin 69 70 Wojtkowski, Maciej P. 9 26 503 Wolf, Emil 520 Wolf, Joseph A. 315 316 552 637 674 Wolpert theorem 449 Wolpert, S. 99 Wrinkling finely corrugated 149 Wu, Hung Hsi 622 652 688 710 735 780 Wu, Jyh-Yang 533 649 783 Xavier, Frederico 55 Xu, Chong Ming 167 Yamabe, Hidehiko 561 Yamaguchi, Takao 584 625 640 649 660 704 705 Yang — Mills field 698 Yang, C.T. 522 Yang, Chen Ning 698 709 Yang, Da-Gang 621 Yang, Deane 559 650 661 Yang, Paul C. 435 Yano, Kentaro 616 678 734 Yau, Shing-Tung 153 321 399 435—437 528 555 572 597 606 627 628 638 683 684 688 701
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