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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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Le mouvement a la Poinsot 220 305 Leahy, John V. 399 Lebesgue — Rochlin space 712 LeBrun, Claude 557—560 675—677 679 Ledrappier, Franqois 5 7 112 636 Leeb, Bernhard 634 Leibnitz’s rule 181 Leighton, Robert B. 11 Lekkerkerker, C.G. 365 412 Lemaire, L. 701 Lemma Heintze — Karcher 332 Lemma Heintze — Margulis 636 Length 3 Length counting function 50 Length space 4 705 Length spectrum 85 417 429 431 Lens space 269 517 Leschke, K. 228 Leuzinger, Enrico 315 Levi-Civita connection 723 725 Levine, Jerome 691 Levy, Paul 332 347 714 Li, Jiayu 70 Li, Peter 153 436 684 Li, Yan Yan 237 Lichnerowicz 433 Lichnerowicz formula 695 Lichnerowicz, Andre 236 398 428 433 627 631 664 666 667 684 693 734 735 Lie algebra 183 Lie bracket 183 720 Lie group 170 Lieb, Elliott H. 92 Liebmann, Karl Otto Heinrich 145 Lindenstrauss, Joram 329 Line 612 623 Linear connection 724 Linner, Anders 28 31 Liouville theorem 383 498 Lipschitz 163 654 LIST OF AUTHORS 825 Liu, Xiaobo 716 Llarull, Marcelo 628 Lobachevskii, Nicholas 115 194 Locally geometrically contractible 392 Locally symmetric space 209 Loebell, Frank 317 Loewner theorem 351 Loewner, Charles 351 Lohkamp, Joachim 424 440 515 630 640 661 688 705 Long line 163 Loop geodesic 51 Loop space 487 Loos, Ottmar 209 Lorentzian manifold 709 Lott, John 417 454 657 661 Lu, Peng 553 652 Lueck, W. 687 689 Luo, Wen Zhi 431 450 687 Lusternik, L.A. 489 492 Maag, Hans 398 Machigashira, Yoshiroh 704 Malliavin, Paul 424 Mangoldt, Hans von 46 277—280 Manifold 162 Manifold Allof — Wallach 541 604 Manifold arithmetic hyperbolic 317 Manifold hyperbolic 316 Manifold infinite dimensional 710 Manifold Kaehler 554—556 665 666 670 681—684 Manifold quaternionic Kaehler 674 Manifold real analytic 163 Manifold Riemannian 193 Manifold topological 163 Mann, Benjamin M. 553 678 Manning, Anthony 502 Manturov, O. 552 Mao, Yiping 443 Margefin, Christophe M. 308 568 595 Margulis, G.A. 321 503 508 Marin, A. 157 Marl6, Ricardo 460 482 498 501 Maslova, N.B. 460 Massey, William S. 157 176 Matsumoto, Shigenori 228 561 Matveev, Vladimir S. 525 Mauduit, Christian 112 Maximum principle for parabolic PDE 426 Maxwell’s fisheye 520 Mazet, Edmond 109 111 399 415 420 Mazur, Barry 178 641 Mazzeo, Rafe 151 McCleary, John 486 796 McDuff, Dusa 682 684 McKean, Jr., H.P. 103 398 418 452 699 Meager 78 491 Mean curvature 56 337 Mean flow 70 Measure Bowen — Margulis 508 509 Measure entropy 502 Measure isotropy 314 Measure Patterson — Sullivan 511 Mechanics classical 219—220 Meeks, III, William H. 69 Melas, Antonios D. 99 Melrose, Richard 97 98 104 Metric ball 244 Metric Carnot — Caratheodory 636 706 Metric cone 686 Metric Einstein 546 549 Metric entropy 502 Metric induced 34 Metric inner 34 Metric intrinsic 34 Metric jigsaw 636 Metric railway 636 Metric Ricci flat 549 Metric space, complete 249 Metric Tits 321 Meyer, Daniel 236 616 734 Meyer, Wolfgang T. 300 489 583 587 589 592 603 606 609 611—614 Micalief, Mario J. 615 616 Michael, J.H. 368 Michel, Rene 461 702 Michelsohn, Marie-Louise 630 631 689 694 696 699 702 734 Michor, Peter W. 710 Microlocal analysis 427 437 Mills, R.L. 698 Milman, V.D. 329 Milnor, John W. 174 178 223 266 316 330 336 350 389 398 417 441 478 479 581 641 741 Milnor, Tilla Klotz 152; see “Weinsrein Tilla” Milnor’s octahedron 223 Min-Oo, Maung 579 656 Minakshisundaram, S. 398 418 Minicozzi, II, William P. 688 Minimal geodesic 244 Minimal surface 69 Minimal surface in 3 67—70 Minimal volume 227 535 Minimax principle 88 408 Mirror bouncing 4 Mixing 499 515 Mm space 329 712 Mobility axiom of 276 314 Modular domain 277 311 318 Moduli problem 530 Moebius group 201 Moebius transformation 318 Moise, Edwin E. 176 Mok, Ngaiming 665 683 Montgomery, Deane 671 Moore, John Douglas 615 616 Morgan, Frank 33 190 342 344 493 717 Morgan, John W. 179 528 683 701 Mori, Shigefumi 683 Moroianu, Andrei 674 Morse index 518 Morse index theorem 480 Morse theorem 479 Morse theory 300 465 491 592 Morse, H.Marston 300 465 478 491 504 Morse, Philip M. 44 89 91 111 Moser theorem 188 Moser, Juergen K. 188 490 Mostow rigidity 318 Mostow, G.D. 318 320 321 633 Mueller, Werner 257 347 454 704 Mufioz Masqud, Jaime 223 731 Multiplicity 404 Musical isomorphisms 722 Myers — Cheng theorem 268 286 336 Myers, Sumner B. 144 249 268 286 308 336 Nabutovsky, Alexander 362 372 469 528 536 545 551 562 567 568 Nadirashvili, Nikolai 152 435 Naimark, M.A. 774 Nash embedding theorem 238 469 Nash — Kuiper theorem 238 Nash — Tognoli theorem 179 470 Nash, John 238 469 Natural tensor 223 731 Nijenhuis, Albert 669 730 Nikolaev, I.G. 655 661 702—704 Nilmanifold 284 Nirenberg, Louis 72 237 399 Nitsche, Johannes C.C. 69 Nodal line 104 Nodal set 417 Nomizu, Katsumi 232 697 716 724 736 741 745 Non-destructive assay 97 Noncommutative geometry 711 Nondegenerate critical point 478 Norm 192 Normal coordinates 221 Normal covering 168 Normal homogeneous space 230 745 Novikov conjecture 628 634 Novikov, S.P. 168 Number theory 311 412 Obata, Morio 433 Observable diameter 713 Octahedron Milnor’s 223 Oesterle, Joseph 316 Olbrich, Martin 416 420 450 Omori, Hideki 439 Onishchik, Arkadi L. 208 Operator curvature 615 Oral, Jean-Pierre 524 702 Orbifold 617 650 Orientable 187 Osculating circle 13 Osgood, B. 99 443 444 Osserman, Robert 24 29 97 511 Otsu, Yukio 584 599 704 O’Neill, Barrett 120 636 710 746 O’Sullivan, John J. 337 Pacard, Frank 151 Packing invariant 585 Page, D. 556 Pair of pants 216 Palais theorem 193 Palais — Smale condition C 550 551 557 605 Palais, Richard S. 122 193 550 557 716 Panda 172 Pansu, Pierre 311 318 319 321 342 508 634 657 689 Pants pair of 216 Parabolic point 79 Parallel transport 264 723 727 Parametrix 419 Park, Jeonghyeong 399 Parking 707 Parodi, V.K. 452 453 699 Patemain, Gabriel P. 258 460 482—484 503 Patemain, Miguel 482 Paternain theorem 503 Path 3 Path shortest 244 Patterson — Sullivan measure 511 Pauli, Wolfgang 695 Pdlya, G. 91 94 Pedit, F. 228 Pelletier, Fernand 707 Pendulum 116 Pendulum double 219 Perel’man, G. 4 599 612 618 621 626 650 704 Periodic geodesic X Periodic geodesic twist type 490 Periodic trajectory 6 Perry, Peter 444 Pesin, Ya.B. 460 Peters, Stefan 644 652 Petersen, V. Peter 158 215 265 348 367 392 434 444 482 533 572 578 579 594 595 602 607 609 612 615 617 619 640 645 649—652 656 661 686 705 734 783 Petronio, Carlo 196 201 545 Petrova, Irina 237 Pfaffian 741 Phase space 116 507 Phillips, R. 99 443 444 Piatetski-Shapiro, I. 319 Pinkall, Ulrich 28 151 153 228 Pinsky, Mark A. 426 Pisier, Gilles 329 Pittet, Christophe 349 373 PL-manifold 704 Planck, Max 83 Planck’s constant 83 Plane curve 9—31 Plane Euclidean 2 Plane real projective 164 Plateau problem 69 Pleijel, A. 398 Pogorelov, A.V. 150 237 Poincare conjecture 551 587 599 616 649 Poincare disk model of hyperbolic plane 197 Poincare half-plane model of hyperbolic plane 197 Poincare return map 430 490 494 Poincare, Henri 197 399 457 474 Poinsot le mouvement a la 220 305 Poinsot, Louis 220 305 Point simple 614 Poisson formula 413 Poisson type formula 104 Polarized F structure 540 547 658 Pole 614 Pollack, Daniel 151 Polombo, Albert 607 742 743 762 Polthier, Konrad 151 Polygon, convex 6 Polytope 111 Pontryagin class 741 Poon, Y.S. 676 Porteous, I.R. 79 Positive mass theorem 688 Pouch 580 Prasad, Gopal 320 Preissmann, Alexandre, IX 637 Prfifer surface 163 Primitive geodesic 470 Principal curvature 54 233 Probability theory 711 Problem Ambrose 237 309 730 Product of manifolds 169 Product of Riemannian manifolds 202
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